If two variables, X and Y, are in direct proportion then Y = c*X for some fixed value c. This value, c, is the constant of proportionality for this relationship.
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It is the constant of proportionality or the conversion factor.
The answer depends on what the constant is: the y-intercept in a linear graph, constant of proportionality, constant of integration, physical [universal] constant.
If the equation is y = kx then the constant of proportionality is k.
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.
Ah, the constant of proportionality, fancy lingo for the number that relates two directly proportional quantities. It's like the glue holding those two variables together in a nice linear relationship. So, basically, it's the magic number that keeps things in balance, like a referee making sure everyone plays fair in the world of math.