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Harmonic Mean of Three Numbers Formula

GoHarmonic Mean of Two Numbers Formula

GoHarmonic Mean given Arithmetic and Geometric Means Formula

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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. Check FAQs

HM = \frac{3}{\frac{1}{n 1} + \frac{1}{n 2} + \frac{1}{n 3}}

HM - Harmonic Mean?n₁ - First Number?n₂ - Second Number?n₃ - Third Number?

Harmonic Mean of Three Numbers Example

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

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

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

32.7273 = \frac{3}{\frac{1}{40} + \frac{1}{60} + \frac{1}{20}}

32.7273 = \frac{3}{\frac{1}{40} + \frac{1}{60} + \frac{1}{20}}

32.7273 = \frac{3}{\frac{1}{40} + \frac{1}{60} + \frac{1}{20}}

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Harmonic Mean of Three Numbers Solution

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

FIRST Step Consider the formula

HM = \frac{3}{\frac{1}{n 1} + \frac{1}{n 2} + \frac{1}{n 3}}

Next Step Substitute values of Variables

∴

HM = \frac{3}{\frac{1}{40} + \frac{1}{60} + \frac{1}{20}}

Next Step Prepare to Evaluate

∴

HM = \frac{3}{\frac{1}{40} + \frac{1}{60} + \frac{1}{20}}

Next Step Evaluate

∴

HM = 32.7272727272727

LAST Step Rounding Answer

∴

HM = 32.7273

Harmonic Mean of Three Numbers Formula Elements

Variables

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

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 Harmonic Mean

Go Harmonic Mean of Two Numbers

HM = \frac{2 \cdot n 1 \cdot n 2}{n 1 + n 2}

Go Harmonic Mean given Arithmetic and Geometric Means

HM = \frac{{GM}^{2}}{AM}

Go Harmonic Mean of N Numbers

HM = \frac{n}{S Harmonic}

Go Harmonic Mean of Four Numbers

HM = \frac{4}{\frac{1}{n 1} + \frac{1}{n 2} + \frac{1}{n 3} + \frac{1}{n 4}}

How to Evaluate Harmonic Mean of Three Numbers?

Harmonic Mean of Three Numbers evaluator uses Harmonic Mean = 3/(1/First Number+1/Second Number+1/Third Number) to evaluate the Harmonic Mean, The Harmonic 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 reciprocal of their values. Harmonic Mean is denoted by HM symbol.

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

FAQs on Harmonic Mean of Three Numbers

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

The formula of Harmonic Mean of Three Numbers is expressed as Harmonic Mean = 3/(1/First Number+1/Second Number+1/Third Number). Here is an example- 32.72727 = 3/(1/40+1/60+1/20).

How to calculate Harmonic Mean of Three Numbers?

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

What are the other ways to Calculate Harmonic Mean?

Here are the different ways to Calculate Harmonic Mean-

Harmonic Mean=(2*First Number*Second Number)/(First Number+Second Number)
Harmonic Mean=(Geometric Mean^2)/Arithmetic Mean
Harmonic Mean=Total Numbers/Harmonic Sum of Numbers

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Harmonic Mean of Three Numbers Formula

​GoHarmonic Mean of Two Numbers Formula

​GoHarmonic Mean given Arithmetic and Geometric Means Formula

Harmonic Mean of Three Numbers Example

Harmonic Mean of Three Numbers Solution

Harmonic Mean of Three Numbers Formula Elements

Other Formulas to find Harmonic Mean

How to Evaluate Harmonic Mean of Three Numbers?

FAQs on Harmonic Mean of Three Numbers

Variable Name

GoHarmonic Mean of Two Numbers Formula

GoHarmonic Mean given Arithmetic and Geometric Means Formula