Ratio and Proportion Formulas
As you know Ratio is a relation between two quantities or number , and proportion is a ratio of ratios.
Here are some basic formulas related to Ratio and Proportion in mathematics:
Ratio and Proportion formulas:
1> A ratio of “a” and “b” is denoted by a:b and is read as: “a is to b”.
in a ratio the first part ( “a” in our example ) is called Antecedent and second part ( “b” in our example ) is called Consequent.
2> A duplicate ratio is the ratio of second degree of the original ratio. For example the duplicate ratio of is
3> A triplicate ratio is the ratio of third degree of the original ratio. For example the triplicate ratio of is
4> A sub-Duplicate ratio is the ratio of half degree of the original ratio. For example the sub-duplicate ratio of is
5> A sub-triplicate ratio is the ratio of one third degree of the original ratio. For example the sub-triplicate ratio of is
6> The ratio obtained by multiplying two or more ratios term wise is called compounded ratio.
for example compounded ratio of ratios , , is
7> The ratio obtained by adding two or more ratios term wise is called “Addendo”.
for example Addendo ratio of ratios , , is
7> A proportion of ratios “a:b” and “c:d” is denoted by: a:b :: c:d
where “a” and “d” are called Extremes and “b” and “c” are called means.
8> If in a proportion a:b :: b:c :: c:d , then the proportion is said to be a continued proportion of a , b, c &d.
9> If a:b :: b:c :: c:d or is a continued proportion then,
c = dk , b=ck=dk2 and a=bk=ck2=dk3
10> A proportion a:b :: c:d or can also be re-written as:
a> and is called “Invertendo”.
b> and is called “Alternando” .
c> and is called “Componendo”.
d> and is called “Dividendo”.
e> and is called “Componendo and Dividendo”.
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