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Golden Ratio Calculator

Use our free Golden ratio Calculator to learn and practice. Get step-by-step solutions with explanations and examples. Get results you can export or share.

Reviewed by Daniel Agrici, Founder & Lead Developer

Reviewed by Daniel Agrici, Founder & Lead Developer

Formula

ฯ† = (1 + โˆš5) / 2 โ‰ˆ 1.6180339887 | a/b = ฯ† when a+b/a = a/b

The golden ratio ฯ† appears throughout nature, art, and architecture. Given a value, find its golden ratio partners.

Worked Examples

Example 1: 100 unit side

Problem:Find golden ratio pair for 100

Solution:100 ร— 1.618 = 161.80, 100 / 1.618 = 61.80

Result:161.80 and 61.80

Reviewed by Daniel Agrici, Founder & Lead Developer ยท Editorial policy