golden ratio

noun

mathematics
: a ratio of two numbers in which the ratio of the sum to the larger number is the same as the ratio of the larger number to the smaller : golden section

Examples of golden ratio in a Sentence

Recent Examples on the Web
Examples are automatically compiled from online sources to show current usage. Read More Opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback.
Just like the golden ratio for the earlier inequality, setting α equal to √2 prevents a better approximation result. Manon Bischoff, Scientific American, 19 June 2026 As for what’s most desirable, proponents of the golden ratio insist on a divine proportion. Steven Strogatz, New York Times, 16 June 2025 The watch’s features therefore include elements nodding to the golden ratio, on the physical watch and its digital watch faces. Lily Templeton, Footwear News, 3 Sep. 2019 See All Example Sentences for golden ratio

Word History

First Known Use

1888, in the meaning defined above

Time Traveler
The first known use of golden ratio was in 1888

Browse Nearby Words

Cite this Entry

“Golden ratio.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/golden%20ratio. Accessed 2 Jul. 2026.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!

More from Merriam-Webster