if x, 18, 108 are in continued proportion. find the value of x. give step by step explaination also. those who will answer i don't know or xyz... their anwer will be reported
Answers
This could be the answer to your question:-
Continued Proportion is a proportion in which the second quantity acts as both the second and the third quantity.
The quantities x, 18, 108 can be represented like this, if there are in continued proportion:
x : 18 :: 18 : 108
{Notice that the second and the third quantities are same i.e., 18}
To find the value of x in the above equation we apply the formula we use to find out if quantities are in proportion or not =
Product of means = Product of extremes
{Means are always, in any proportion, the second and third quantities whereas extremes are always, in any proportion, the first and the fourth quantities}
According to the above formula,
18 * 18 = x * 108
324 = 108x
Therefore, x = 324/108
x = 3
{Notice the transposition (moving) of 108 after 324. Also the determiner (what determines) of the next operation solely depends on what operation the item transposed had at its last place i.e., in our case 108 was about to multiplied with x. The final operation would be the opposite of the finding i.e., in our case 108 which was to be multiplied will be the divider of 324.}
Hence, the value of the first proportional {quantity} i.e., x = 3.