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Topic 47 · lesson 2 of 7

The Proportional Sign

Clear explanations and worked examples from the Math-Mate school maths textbook.

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The Proportional Sign

When one variable is directly related to another, you can use the proportionality symbol to describe the relationship.  The symbol is a ‘Mathematical diagram’.  So if we write something like…

                                                              Mathematical diagram

…what we mean is that the value of ‘a’ is proportional to the value of ‘b’, and that we can write a quantitative (one involving actual numbers and values) relationship using just a constant of proportionality, like this:

                                                             Mathematical diagram

Same goes for ‘proportional to the square’ relationships, for instance for Mathematical diagram, we would write that y is proportional to the square of x:

                                                             Mathematical diagram