Math
Solve a proportion
Find the missing fourth value in two equal ratios.
Calculators / Math / Golden ratio segment split
Golden ratio segment split calculator
Divide a length into two segments whose ratio equals the golden ratio.
On this page
Long segment61.8
Short segment38.2
Golden ratio1.62
Calculator controls
How to calculate
Divide a length into two segments whose ratio equals the golden ratio.
Long segment =
length/((1+sqrt(5))/2)Short segment =
length-length/((1+sqrt(5))/2)Golden ratio =
(1+sqrt(5))/2Worked example
- Total segment length: 100
- Long segment: 61.8
- Short segment: 38.2
- Golden ratio: 1.62
Assumptions and limits
The entered length uses one consistent unit. This geometric proportion is not a claim that a design is objectively more attractive.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Divide a length into two segments whose ratio equals the golden ratio. Compare both lengths with the whole: long divided by short equals whole divided by long.
When this tool is useful
Compare both lengths with the whole: long divided by short equals whole divided by long.
Understanding your inputs
| Input | Example |
|---|---|
Total segment length length | 100 |
Frequently asked questions
What assumptions should I check?
The entered length uses one consistent unit. This geometric proportion is not a claim that a design is objectively more attractive.
How can I check the result?
Start with the labelled example. Keep units consistent, calculate without intermediate rounding and change one input at a time. The diagram explains the model; the result table supplies the numerical answer.