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Reference table

Harmonic Mean of Three Numbers Table: Harmonic mean by First number

Reference table of harmonic mean for Harmonic Mean of Three Numbers across a range of first number values — exact, engine-computed figures you can read off at a glance.

By Vikram Iyer, M.Sc Mathematics · Updated Jun 2026 · 1 min read

This harmonic mean of three numbers reference table shows the harmonic mean for a range of first number values, assuming a second number of 4 and a third number of 8. Every figure is computed with the same engine that powers our Harmonic Mean of Three Numbers Calculator, so the numbers are exact.

First numberHarmonic mean
0.51.2632
12.1818
1.52.8800
23.4286
34.2353
44.8000
65.5385
106.3158
146.7200
207.0588

How to use this table

Find the row closest to your first number and read across to the harmonic mean. For a value between two rows, the real figure sits between them — or enter your exact numbers in the Harmonic Mean of Three Numbers Calculator for a precise answer.

Need a value that is not in the table? — the Harmonic Mean of Three Numbers Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring math calculators with these tools: Margin of Error Calculator, Sample Size Calculator, Confidence Interval Calculator, Coefficient of Variation Calculator, Regular Heptagon Area Calculator.

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Frequently asked questions

Each cell is computed with the standard formula using exact arithmetic — the same calculation behind our Harmonic Mean of Three Numbers Calculator — so every figure is accurate for the stated assumptions.

Yes. The table covers common first number values; for any exact figure, enter your own numbers in the Harmonic Mean of Three Numbers Calculator.

Vikram Iyer · M.Sc Mathematics

Vikram Iyer is a mathematics educator with over fifteen years of teaching experience, specialising in making quantitative concepts clear and practical for everyday use.