THE MAIN PROPERTY OF PROPORTION
Keywords:
proportion, ratio, means and extremes, mathematics education, applications of proportionAbstract
Proportion is one of the fundamental concepts in mathematics,
particularly in the fields of arithmetic, algebra, and geometry. The main property of
proportion states that in any equality of two ratios, the product of the means is equal to
the product of the extremes. This seemingly simple principle has vast applications
across various branches of mathematics, science, and real-life problem-solving,
ranging from geometry and trigonometry to economics and physics. This article aims
to provide a comprehensive discussion of the main property of proportion, starting
from its historical development, mathematical definition, and proof,
References
1.Euclid. The Elements. Translated by Thomas L. Heath. New York: Dover
Publications, 1956.
2.Boyer, C. B., & Merzbach, U. C. A History of Mathematics. 2nd ed. New York:
Wiley, 1991.