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About This Tool
Solve missing proportional values and resize digital media dimensions without altering original aspect ratios. Given the proportional equality A:B = C:X, cross-multiplication solves for the missing variable X = (B × C) / A. Use this solver for screen resolutions, photography aspect ratios, recipe ingredient scaling, and technical drafting scale conversions.
How to Use
- 1
Enter the original antecedent A and consequent B values establishing your target ratio.
- 2
Provide the known scaled dimension C for the new layout or recipe batch.
- 3
Read the calculated dimension X alongside simplified ratio formats and scaling factors.
Frequently Asked Questions
How does cross-multiplication solve for an unknown ratio value?
Because a ratio A:B is equivalent to fraction A/B, setting A/B = C/X means A · X = B · C. Dividing both sides by A yields the unknown dimension X = (B · C) / A.
What is a worked example resizing a 16:9 video resolution to 1080p?
For a 16:9 display ratio with known width C = 1920: X = (9 × 1920) / 16 = 17,280 / 16 = 1080. The resulting resolution is 1920 × 1080 pixels (Full HD).
Can this tool reduce complex ratios to lowest terms?
Yes. By computing the greatest common divisor (GCD) of both integers, the tool displays simplified lowest-term ratios alongside decimal scaling multipliers.
Are ratio inputs sent to external cloud servers?
No. All cross-multiplications, GCD factorizations, and scaling calculations execute locally inside your web browser.