Golden Ratio Calculator

Last updated: Math Calculators

Golden Ratio Calculator

Enter any one value to calculate the other two based on the golden ratio (≈ 1.618).

AGolden PointB

About This Calculator

This calculator finds the relationship between two parts of a whole using the golden ratio—approximately 1.618—where the ratio of the whole to the larger part equals the ratio of the larger to the smaller.

How It Works

Input any one value: the longer part, shorter part, or total length. The calculator automatically computes the other two using the golden ratio.

Frequently Asked Questions

What is the golden ratio?

It's a mathematical constant (~1.618) found in nature, art, and architecture.

How is it calculated?

By dividing a line so the whole over the longer part equals the longer over the shorter part.

Where is it applied?

In art, architecture, design, and financial analysis.