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Geometric Mean given Arithmetic and Harmonic Means Formula

GoGeometric Mean of Two Numbers Formula

GoGeometric Mean of Three Numbers Formula

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Geometric Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values. Check FAQs

GM = \sqrt{AM \cdot HM}

GM - Geometric Mean?AM - Arithmetic Mean?HM - Harmonic Mean?

Geometric Mean given Arithmetic and Harmonic Means Example

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Here is how the Geometric Mean given Arithmetic and Harmonic Means equation looks like with Values.

Here is how the Geometric Mean given Arithmetic and Harmonic Means equation looks like with Units.

Here is how the Geometric Mean given Arithmetic and Harmonic Means equation looks like.

48.9898 = \sqrt{50 \cdot 48}

48.9898 = \sqrt{50 \cdot 48}

48.9898 = \sqrt{50 \cdot 48}

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Geometric Mean given Arithmetic and Harmonic Means Solution

Follow our step by step solution on how to calculate Geometric Mean given Arithmetic and Harmonic Means?

FIRST Step Consider the formula

GM = \sqrt{AM \cdot HM}

Next Step Substitute values of Variables

∴

GM = \sqrt{50 \cdot 48}

Next Step Prepare to Evaluate

∴

GM = \sqrt{50 \cdot 48}

Next Step Evaluate

∴

GM = 48.9897948556636

LAST Step Rounding Answer

∴

GM = 48.9898

Geometric Mean given Arithmetic and Harmonic Means Formula Elements

Variables

Functions

Geometric Mean

Geometric Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.

Symbol: GM

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Geometric Mean

Arithmetic Mean

Arithmetic Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the sum of their values.

Symbol: AM

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Arithmetic Mean

Harmonic Mean

Harmonic Mean is the average value or mean which signifies the central tendency of the set of numbers by finding the reciprocal of their values.

Symbol: HM

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Harmonic Mean

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Geometric Mean

Go Geometric Mean of Two Numbers

GM = \sqrt{n 1 \cdot n 2}

Go Geometric Mean of Three Numbers

GM = {(n 1 \cdot n 2 \cdot n 3)}^{\frac{1}{3}}

Go Geometric Mean of N Numbers

GM = {(P Geometric)}^{\frac{1}{n}}

Go Geometric Mean of Four Numbers

GM = {(n 1 \cdot n 2 \cdot n 3 \cdot n 4)}^{\frac{1}{4}}

How to Evaluate Geometric Mean given Arithmetic and Harmonic Means?

Geometric Mean given Arithmetic and Harmonic Means evaluator uses Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean) to evaluate the Geometric Mean, Geometric Mean given Arithmetic and Harmonic Means formula is defined as the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values, and calculated using the arithmetic mean and harmonic mean of them. Geometric Mean is denoted by GM symbol.

How to evaluate Geometric Mean given Arithmetic and Harmonic Means using this online evaluator? To use this online evaluator for Geometric Mean given Arithmetic and Harmonic Means, enter Arithmetic Mean (AM) & Harmonic Mean (HM) and hit the calculate button.

FAQs on Geometric Mean given Arithmetic and Harmonic Means

What is the formula to find Geometric Mean given Arithmetic and Harmonic Means?

The formula of Geometric Mean given Arithmetic and Harmonic Means is expressed as Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean). Here is an example- 48.98979 = sqrt(50*48).

How to calculate Geometric Mean given Arithmetic and Harmonic Means?

With Arithmetic Mean (AM) & Harmonic Mean (HM) we can find Geometric Mean given Arithmetic and Harmonic Means using the formula - Geometric Mean = sqrt(Arithmetic Mean*Harmonic Mean). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Geometric Mean?

Here are the different ways to Calculate Geometric Mean-

Geometric Mean=sqrt(First Number*Second Number)
Geometric Mean=(First Number*Second Number*Third Number)^(1/3)
Geometric Mean=(Geometric Product of Numbers)^(1/Total Numbers)

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Geometric Mean given Arithmetic and Harmonic Means Formula

​GoGeometric Mean of Two Numbers Formula

​GoGeometric Mean of Three Numbers Formula

Geometric Mean given Arithmetic and Harmonic Means Example

Geometric Mean given Arithmetic and Harmonic Means Solution

Geometric Mean given Arithmetic and Harmonic Means Formula Elements

Other Formulas to find Geometric Mean

How to Evaluate Geometric Mean given Arithmetic and Harmonic Means?

FAQs on Geometric Mean given Arithmetic and Harmonic Means

Variable Name

GoGeometric Mean of Two Numbers Formula

GoGeometric Mean of Three Numbers Formula