CLASS-7
CONTINUED RATIO

CONTINUED RATIO

If three quantities are such that the ratio of the first two quantities are x : y and the ratio of the last two quantities are y : z then we can say that three quantities are in the continued ratio x : y : z

For example –

1) There are two ratios like 4 : 9 and 9 : 25 then the combined ratio would be 4 : 9 : 25

2)  Suppose there are two ratios like 4: 9 and 27 : 5, here first ratio consequent and second ratio antecedent are not the same, now to combine both the ratio we have to make first ratio consequent and second ratio antecedent equal then only we can combine both the ratio.

So, now we have to find out the LCM of first ratio consequent and the second ratio antecedent.

LCM of the first ratio consequent and the second ratio antecedent is -  

So, to make the first ratio consequent and second ratio antecedent equal

 4 : 9 = 4 X 3 : 9 X 3  = 12 : 27

 27 : 5 = 27 X 1 : 5 X 1 = 27 : 5

 So,  4 : 9 : : 27 : 5  =  12 : 27 : : 27 : 5 =  12 : 27 : 5

 So, the combined ratio is  12 : 27 : 5