Golden Ratio Calculator
Calculate golden ratio proportions for design, art, and architecture. Find harmonious dimensions using the golden ratio φ (1.618).
Golden Ratio Calculator
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Results
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Golden Ratio Calculator
The golden ratio is a simple number that creates balance and visual harmony. It appears in art, architecture, nature, and modern design. A Golden Ratio Calculator helps you apply this proportion quickly without manual math.
The golden ratio, written as φ (phi), is approximately 1.618. When one part of a design is 1.618 times larger than the other, the proportion often feels natural and pleasing.
This calculator uses the precise golden ratio constant φ = 1.618033988749895 for accurate calculations.
Calculation Formulas
Core Golden Ratio Formulas
Find the Larger Value
Larger = Smaller × φ
Multiply the smaller value by the golden ratio (≈1.618)
Find the Smaller Value
Smaller = Larger ÷ φ
Divide the larger value by the golden ratio (≈1.618)
Check Golden Ratio
Ratio = Larger ÷ Smaller
Calculate the ratio between two values
φ (phi) = 1.618033988749895 (exact golden ratio constant)
Golden Ratio Examples
Common Proportion Calculations
| Smaller Value | Larger Value | Ratio | Perfect Match |
|---|---|---|---|
| 100 px | 161.8 px | 1.618 | ✓ Perfect |
| 10 cm | 16.18 cm | 1.618 | ✓ Perfect |
| 50 mm | 80.9 mm | 1.618 | ✓ Perfect |
| 5 in | 8.09 in | 1.618 | ✓ Perfect |
| 200 px | 320 px | 1.6 | ~ Close |
These examples show perfect golden ratio proportions and near-matches that still create visual harmony.
Final Thoughts
Perfect proportions don't require complex tools. With a Golden Ratio Calculator, you can apply harmony to any project in seconds. Enter one value, choose a mode, and get clean, accurate results instantly.