Solving Proportions by Cross Multiplication.

Cross multiplication to solve proportions

A proportion is an equation which states that two ratios are equal.
When the terms of a proportion are cross multiplied, the cross products are equal.
Cross multiplication is the multiplication of the numerator of the first ratio by the denominator of the second ratio and the multiplication of the denominator of the first ratio by the numerator of the second ratio.
    21      3
    --  =  --       
    70     10
		

21 * 10 = 70 * 3


    210 = 210
If one term of a proportion is not known, cross multiplication can be used to find the value of that term.
     x      3
    --  =  --       
    70     10
		

 x * 10 = 70 * 3
 

    10x = 210
		
				
    10x   210
    --- = ---
    10    10
		
		
      x = 21

Unit Rates

Determine the value of x by cross multiplying.

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