LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

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**