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Geometric Mean of Three Numbers Formula

GoGeometric Mean of Two Numbers Formula

GoGeometric Mean given Arithmetic and Harmonic Means 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 = {(n 1 \cdot n 2 \cdot n 3)}^{\frac{1}{3}}

GM - Geometric Mean?n₁ - First Number?n₂ - Second Number?n₃ - Third Number?

Geometric Mean of Three Numbers Example

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Here is how the Geometric Mean of Three Numbers equation looks like with Values.

Here is how the Geometric Mean of Three Numbers equation looks like with Units.

Here is how the Geometric Mean of Three Numbers equation looks like.

36.3424 = {(40 \cdot 60 \cdot 20)}^{\frac{1}{3}}

36.3424 = {(40 \cdot 60 \cdot 20)}^{\frac{1}{3}}

36.3424 = {(40 \cdot 60 \cdot 20)}^{\frac{1}{3}}

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Geometric Mean of Three Numbers Solution

Follow our step by step solution on how to calculate Geometric Mean of Three Numbers?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

GM = {(40 \cdot 60 \cdot 20)}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

GM = {(40 \cdot 60 \cdot 20)}^{\frac{1}{3}}

Next Step Evaluate

∴

GM = 36.3424118566428

LAST Step Rounding Answer

∴

GM = 36.3424

Geometric Mean of Three Numbers Formula Elements

Variables

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

First Number

First Number is the first member in the set of numbers of which mean value is to be calculated.

Symbol: n₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find First Number

Second Number

Second Number is the second member in the set of numbers of which mean value is to be calculated.

Symbol: n₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Second Number

Third Number

Third Number is the third member in the set of numbers of which mean value is to be calculated.

Symbol: n₃

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Third Number

Other Formulas to find Geometric Mean

Go Geometric Mean of Two Numbers

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

Go Geometric Mean given Arithmetic and Harmonic Means

GM = \sqrt{AM \cdot HM}

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 of Three Numbers?

Geometric Mean of Three Numbers evaluator uses Geometric Mean = (First Number*Second Number*Third Number)^(1/3) to evaluate the Geometric Mean, Geometric Mean of Three Numbers formula is defined as the average value or mean which signifies the central tendency of the set of three numbers by finding the product of their values. Geometric Mean is denoted by GM symbol.

How to evaluate Geometric Mean of Three Numbers using this online evaluator? To use this online evaluator for Geometric Mean of Three Numbers, enter First Number (n₁), Second Number (n₂) & Third Number (n₃) and hit the calculate button.

FAQs on Geometric Mean of Three Numbers

What is the formula to find Geometric Mean of Three Numbers?

The formula of Geometric Mean of Three Numbers is expressed as Geometric Mean = (First Number*Second Number*Third Number)^(1/3). Here is an example- 36.34241 = (40*60*20)^(1/3).

How to calculate Geometric Mean of Three Numbers?

With First Number (n₁), Second Number (n₂) & Third Number (n₃) we can find Geometric Mean of Three Numbers using the formula - Geometric Mean = (First Number*Second Number*Third Number)^(1/3).

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=sqrt(Arithmetic Mean*Harmonic Mean)
Geometric Mean=(Geometric Product of Numbers)^(1/Total Numbers)

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: Value
: Unit

Geometric Mean of Three Numbers Formula

​GoGeometric Mean of Two Numbers Formula

​GoGeometric Mean given Arithmetic and Harmonic Means Formula

Geometric Mean of Three Numbers Example

Geometric Mean of Three Numbers Solution

Geometric Mean of Three Numbers Formula Elements

Other Formulas to find Geometric Mean

How to Evaluate Geometric Mean of Three Numbers?

FAQs on Geometric Mean of Three Numbers

Variable Name

GoGeometric Mean of Two Numbers Formula

GoGeometric Mean given Arithmetic and Harmonic Means Formula