Math
Harmonic mean of three values
Average three positive values through their reciprocals; this harmonic mean gives greater influence to the smaller values.
Calculators / Math / Geometric mean of three values
Geometric mean of three values calculator
Find the cube root of the product of three positive values; logarithms keep the geometric mean stable across different scales.
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Geometric mean4
Calculator controls
How to calculate
Find the cube root of the product of three positive values; logarithms keep the geometric mean stable across different scales.
Geometric mean = exp((ln(a)+ln(b)+ln(c))/3)
Worked example
Value 1: 2; Value 2: 4; Value 3: 8.
Geometric mean: 4 .
Assumptions and limits
Find the cube root of the product of three positive values; logarithms keep the geometric mean stable across different scales. This tool gives equal weight to exactly three positive values. Use values with comparable units; rates may need different weighting.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find the cube root of the product of three positive values; logarithms keep the geometric mean stable across different scales.
When this tool is useful
Geometric mean = exp((ln(a)+ln(b)+ln(c))/3)
Understanding your inputs
| Input | What to enter |
|---|---|
| Value 1 | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Value 2 | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Value 3 | Enter a number of at least 1e-12 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Find the cube root of the product of three positive values; logarithms keep the geometric mean stable across different scales. This tool gives equal weight to exactly three positive values. Use values with comparable units; rates may need different weighting.
How is the result calculated?
Geometric mean = exp((ln(a)+ln(b)+ln(c))/3)