Page 28 - E booklet prep 3 bader 2025 b_Neat

Continued proportion

The quantities a , b ,c are said to be Continued proportion if ?? = ??

?? ??

a is called the first proportional

b is called the middle proportional

c is called the third proportional

Note:

1) If ?? = ?? = ??, then b = cm , a = c????
?? ??

2) If ?? = ?? = ?? ???? = ???? ? b = ±v????
?? ??

3) If ?? = ?? = ?? = ?? , then c = dm , b = d???? , a = d????
?? ?? ??

Example 1:

Find the middle proportion between 3 and 27

Middle = ±v?? ?????? = ±??

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