The constant of proportionality
pi = 3.141592.... is a constant of proportionality for all circles.
'C' is directly proportional to 'd'
Equating
C = kd
k = C/d
This is found to be true for all circles, however, large or small. The 'C' and 'd' are the variables.
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It is the constant of proportionality or the conversion factor.
If two variables are directly proportional to one another then the constant of proportionality is the ratio of their values. If they are in inverse proportion then the constant of proportionality is the product of their values.
Direct proportionality. Their graph would be a straight line through the origin, with the slope equal to the ratio.
Graphical: If two variables are proportional, the graph of one of the variables against the other is a straight line through the origin.Algebraic: If the ratio of the two variables is a constant.
A proportional relationship exists when two variables are related by a constant ratio. In the expression y-2.5x, there is no constant multiplier connecting y and x, indicating a non-proportional relationship. If the relationship were proportional, the expression would be in the form y = kx, where k is a constant.