Given Proportion
If 1:x = x:64
So we need to find one number x.
Rewrite this Proportion to Simplify
we can write it as
1/x = x/64
Cross multiply the numerators and denominators.
From the left-hand side, denominator move the x to right-hand side numerator and multiply with existing right-hand side numerator x
From right-hand side denominator move 64 to left-hand side numerator and multiply with existing left-hand side numerator 1
Now it becomes, 1 X 64 = x X x
Where 'X' represents multiplication
Simplification
Simplify further 64 = x^2
If you multiply x with another x, it will become x power 2 which we can write it as x^2
Solution
Lets write as x^2 = 64
we can write 64 as 8^2 because 8 power 2 will be 64
x^2 = 8^2
✅ x=8
👉 So the value of x is 8
