CONTINUED PROPORTIONALS Meaning and
Definition
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Continued proportionals, also known as continued ratios or continued geometrical progressions, are a series of numbers or quantities in which each term is related to the one before it by a constant ratio. In other words, if we have three numbers A, B, and C, A is to B as B is to C. This makes A, B, and C form a continued proportional.
To understand continued proportionals, it is important to understand the concept of ratios. A ratio is the comparison of two quantities by division, and it expresses the relationship between them. In continued proportionals, this relationship is maintained throughout the series.
For example, if A, B, and C are three numbers forming a continued proportional, the ratio of A to B would be the same as the ratio of B to C. This can be expressed mathematically as A/B = B/C.
The concept of continued proportionals has applications in various mathematical fields, including algebra, geometry, and calculus. They are useful in solving equations involving ratios and finding missing terms in a series. Continued proportionals are also linked to the concept of geometric progression, which involves a series of numbers or terms increasing or decreasing by a constant ratio.
Overall, continued proportionals are a fundamental concept in mathematics and serve as a basis for understanding various mathematical relationships and patterns.
Common Misspellings for CONTINUED PROPORTIONALS
- xontinued proportionals
- vontinued proportionals
- fontinued proportionals
- dontinued proportionals
- cintinued proportionals
- ckntinued proportionals
- clntinued proportionals
- cpntinued proportionals
- c0ntinued proportionals
- c9ntinued proportionals
- cobtinued proportionals
- comtinued proportionals
- cojtinued proportionals
- cohtinued proportionals
- conrinued proportionals
- confinued proportionals
- conginued proportionals
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Etymology of CONTINUED PROPORTIONALS
The word "continued" comes from the Latin word "continuus", meaning "uninterrupted" or "continuous". It was derived from the verb "continēre", which means "to hold together" or "to contain".
The term "proportionals" is derived from the Latin word "proportionalis", meaning "pertaining to proportion". It is derived from the word "proportio", which means "ratio" or "proportion".
Therefore, the term "continued proportionals" combines the notion of "continuous" or "uninterrupted" with the idea of "proportions" or "ratios", referring to a mathematical concept where a series of quantities maintain a consistent proportion or ratio.
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