How Do You Spell RECIPROCAL PROPORTION?

1. Reciprocal proportion refers to a mathematical relationship between two quantities, where the product of the first quantity with its reciprocal is equal to the product of the second quantity with its reciprocal. In other words, if two ratios or fractions are in reciprocal proportion, then multiplying the numerator of one fraction by the denominator of the other will yield the same value.

   To understand this concept further, let's consider an example: Suppose we have two fractions, A/B and C/D. If these fractions are in reciprocal proportion, then (A/B) × (D/C) = 1. This indicates that the product of the numerator of the first fraction by the denominator of the second fraction would be equal to the product of the denominator of the first fraction by the numerator of the second fraction.

   Reciprocal proportion has various applications in mathematics and science. It is often utilized in solving problems related to ratios, proportions, and fractions. Additionally, it can be used to solve equations involving unknown variables by cross-multiplication or by taking the reciprocal of both sides.

   Understanding reciprocal proportion can aid in computations involving inverse relationships or ratios. It enables a better comprehension of how different quantities are interrelated and provides a framework for solving various mathematical problems.

2. In arith., the quotient arising from dividing unity or one by any quantity; a proportion in which the first term has to the second the same ratio as the fourth to the third.

   Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.

Common Misspellings for RECIPROCAL PROPORTION

The word "reciprocal" comes from the Latin word "reciprocus", which means "returning" or "alternating". It is derived from the verb "reciprocare", meaning "to move back and forth".

The word "proportion" also has Latin origins, coming from the word "proportio", which means "comparative relation". It is derived from the verb "portare", meaning "to carry" or "to bear".

When combined, the term "reciprocal proportion" refers to a mathematical relationship in which two quantities are inversely proportional to each other. The word "reciprocal" implies the idea of interchange or alternation, while "proportion" refers to the comparative or relative relationship between these quantities.