The ratios a/b and c/d form a proportion is
if their simplified forms are the same, or equivalently, if a*d = b*c
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The simplified forms of the two ratios are the same.The cross products are the same: a/b = c/d if ad = bc
The simplified forms of the two ratios are the same.The cross products are the same: a/b = c/d if ad = bc
The simplified forms of the two ratios are the same.The cross products are the same: a/b = c/d if ad = bc
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
There are two equivalent ways (I) Are the two ratios equivalent fractions? If the ratios are a/b and c/d then can you find a number x such that a = c*x and b = d*x. so that a/b = c*x/d*x = c/d This requires x = a/c = b/d (II) Cross-multiply and equate. If a/b = c/d then cross-multiplication gives ad = bc. Also, if ad = bc then a/b = c/d (divide both sides by bd).