continued proportion: meaning, definition, pronunciation and examples
C2Formal, Technical
Quick answer
What does “continued proportion” mean?
A sequence of three or more quantities where the ratio between each successive pair is the same.
Audio
Pronunciation
Definition
Meaning and Definition
A sequence of three or more quantities where the ratio between each successive pair is the same.
In mathematics, a series of terms where the ratio of the first to the second equals the ratio of the second to the third, and so on (e.g., a:b = b:c = c:d). Also used more generally to describe a sustained or unbroken proportional relationship in various contexts.
Dialectal Variation
British vs American Usage
Differences
No significant difference in meaning or usage. The term is technical and used identically in both varieties.
Connotations
None beyond its technical mathematical definition.
Frequency
Extremely low frequency in general language; confined almost exclusively to mathematical texts and education in both regions.
Grammar
How to Use “continued proportion” in a Sentence
The numbers X, Y, and Z are in continued proportion.A continued proportion exists between A, B, and C.Vocabulary
Collocations
Examples
Examples of “continued proportion” in a Sentence
verb
British English
- [The term is a noun phrase; no verb form exists]
American English
- [The term is a noun phrase; no verb form exists]
adverb
British English
- [No adverbial form]
American English
- [No adverbial form]
adjective
British English
- [The term itself is not used as an adjective. One might say 'a continued-proportion relationship']
American English
- [The term itself is not used as an adjective. One might say 'a continued-proportion series']
Usage
Meaning in Context
Business
Virtually never used.
Academic
Used in mathematics, physics, and engineering contexts to describe ratios in sequences or scaling.
Everyday
Extremely rare. Would only be used when explaining a mathematical concept.
Technical
Core usage. Refers to a specific relationship in number theory, geometry, and related fields.
Vocabulary
Synonyms of “continued proportion”
Strong
Neutral
Weak
Vocabulary
Antonyms of “continued proportion”
Watch out
Common Mistakes When Using “continued proportion”
- Using it to mean 'a proportion that lasts a long time' in non-mathematical contexts.
- Confusing it with 'direct proportion' (which involves only two variables).
FAQ
Frequently Asked Questions
No. Direct proportion involves only two variables (y ∝ x). Continued proportion involves three or more variables in a chain of equal ratios (a:b = b:c = c:d...).
Almost never. It is a specialised mathematical term. Using it in general conversation would likely cause confusion.
The numbers 1, 2, 4, 8, 16... Each number is double the previous, so the ratio between successive terms is consistently 1:2.
Not in standard usage. Any non-mathematical use would be a metaphorical extension of the core concept (e.g., 'a continued proportion of effort to results'), but this is highly unusual.
Continued proportion is usually formal, technical in register.
Continued proportion: in British English it is pronounced /kənˌtɪnjuːd prəˈpɔːʃ(ə)n/, and in American English it is pronounced /kənˈtɪnjud prəˈpɔːrʃ(ə)n/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “[No common idioms for this technical term]”
Learning
Memory Aids
Mnemonic
Think of a chain of identical ratio links: CONTINUed means the proportion CONTINUes from one pair to the next.
Conceptual Metaphor
A CHAIN OF EQUAL STEPS (where each step is defined by the same multiplicative factor).
Practice
Quiz
In which field is the term 'continued proportion' primarily used?