Algorithm for solving Proportion Equations

Dr. J. Suresh Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V66I3P509

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 3 | Year 2020 | Article Id. IJMTT-V66I3P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I3P509

Algorithm for solving Proportion Equations

Dr. J. Suresh Kumar

Citation :

Dr. J. Suresh Kumar, "Algorithm for solving Proportion Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 3, pp. 65-70, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I3P509

Abstract

Proportion Equation is an equality of two or more ratios. A Proportion Equation containingn ratios contains 2nterms. It is a novel Mathematical model of many Physical, Biological or Economics Problems. We consider Proportion Equations involving one or more ratios and in which exactly one of the terms is an indeterminate. Solving the Proportion Equation means to find the value of the indeterminate term knowing the values of all the other terms. Proportion Equations are very much important in the Practical Real-life Applications like Differential or Difference Equations. In this paper, we discuss the algorithm, based on the ancient Indian Mathematical works of Bhaskara[2], but in the modern perspective, for solving the Proportion Equations with any number of terms and in which exactly one of the terms is unknown. We also discuss its Methodology, Mathematical correctness, Algorithmic efficiency, Relevance and the Real-world Applications.

Keywords

Equations, Algorithm.

References

[1] J. Suresh Kumar, “Algorithms in Quantitative Aptitude: An ancient Indian approach based on Bhaskara’s works”, Project Reports ubmitted to UGC-ASC, Orientation Course for College or University Teachers held from 27-07-2012 to 23-08-2012, UGC-ASC, University of Kerala, Trivandrum, Kerala, 2012.
[2] Bhaskara, “Sidddhantha Siromani Part-II: Lilavathy” (Sanskrit) (AD 1114-1185)