The Classical Exmple is C = pi d ; The circle circumference and 'd' the diameter. 'pi' is the constant of proportion.
However if given a set of data , that is directly proportional , then we say
y is directly proportional to 'x'
We now equate this by inserting a constant of proportion(k)
Then
Hence
y = kx
Then k = y/x
This is how 'pi' was found.
e.g.
C = 6.2831....
d = 2
Hence
k(pi) = 6.2831... / 2 = 3.141592....
Other sonstants of proportion are
y is inversely proportional to the square of 'x'
Hence
y = k X 1/x^(2)
k = yx^(2)
et.seq.
Hope that helps!!!!
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There cannot be a "proportion of something": proportion is a relationship between two things, and how you solve it depends on whether they (or their transformations) are in direct proportion or inverse proportion.
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An equation that states that two ratios are equal is a proportion.
proportion
proportion