mean proportional: meaning, definition, pronunciation and examples
C2Formal, Technical, Academic
Quick answer
What does “mean proportional” mean?
The number that, when used twice in a proportion, creates equality between the ratios of the extremes and the means.
Audio
Pronunciation
Definition
Meaning and Definition
The number that, when used twice in a proportion, creates equality between the ratios of the extremes and the means; specifically, for two given numbers a and b, the mean proportional x is such that a/x = x/b, meaning x = √(ab). It is the geometric mean.
A mathematical term used in geometry, algebra, and statistics to denote the middle term in a continuous proportion. In finance and various scientific fields, it can describe a value representing a central tendency or equilibrium point in proportional relationships.
Dialectal Variation
British vs American Usage
Differences
No significant difference in meaning or usage. Spelling of related terms may follow regional conventions (e.g., 'centre' vs. 'center').
Connotations
None beyond the technical definition.
Frequency
Equally low frequency and confined to technical domains in both varieties.
Grammar
How to Use “mean proportional” in a Sentence
The mean proportional of A and B is X.X is the mean proportional between A and B.To find the mean proportional for the two numbers.Vocabulary
Collocations
Usage
Meaning in Context
Business
Virtually never used.
Academic
Used in mathematics, physics, and engineering textbooks and papers when discussing proportions, geometric means, or specific theorems.
Everyday
Extremely rare, only in highly specific educational contexts.
Technical
Core term in geometry and algebra; used in problems involving ratios, similar triangles, and the geometric mean.
Vocabulary
Synonyms of “mean proportional”
Vocabulary
Antonyms of “mean proportional”
Watch out
Common Mistakes When Using “mean proportional”
- Using it interchangeably with 'average' or 'arithmetic mean'.
- Incorrectly constructing the proportion as a/x = b/x instead of a/x = x/b.
FAQ
Frequently Asked Questions
No, it is specifically the geometric mean, not the common (arithmetic) average. It is defined by a multiplicative relationship: x² = a*b.
It is most commonly found in Euclidean geometry (e.g., the altitude rule) and in calculations involving growth rates or proportional scaling.
Multiply the two numbers together and then take the square root of the product. For numbers a and b, the mean proportional x = √(a*b).
In real numbers, the mean proportional is only defined for two numbers that are either both positive or both negative, as the product must be positive to have a real square root.
The number that, when used twice in a proportion, creates equality between the ratios of the extremes and the means.
Mean proportional is usually formal, technical, academic in register.
Mean proportional: in British English it is pronounced /ˌmiːn prəˈpɔːʃ(ə)n(ə)l/, and in American English it is pronounced /ˌmin prəˈpɔːrʃ(ə)n(ə)l/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “None.”
Learning
Memory Aids
Mnemonic
Think of a bridge: the MEAN PROPORTIONAL is the middle value that connects two others perfectly, like the middle of a sandwich that's exactly the geometric average of the bread slices.
Conceptual Metaphor
A BALANCING POINT or a FAIR MIDDLE GROUND in a multiplicative relationship.
Practice
Quiz
What is another precise term for 'mean proportional'?