GlenCalc

Golden ratio calculator

The golden ratio φ = (1 + √5) ÷ 2 ≈ 1.618. A line is in golden proportion when the whole is to the long part as the long part is to the short.

Your answer

Longer part61.8034
Shorter part38.1966
Total100
φ1.6180339887

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How we worked it out

Updated as you change the numbers.

  1. Long = total ÷ φ; short = long ÷ φ; φ = 1.6180339887…

Method and assumptions

Consecutive Fibonacci numbers approach φ: 13/8 = 1.625, 21/13 = 1.615.

Questions

How do I split 100 by the golden ratio?

Into 61.80 and 38.20.

Sources

Method and figures checked on . Every worked answer on this page is covered by an automated test. Found a mistake? Tell us.

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