Means product = extremes product

12×2=24
Y×Y=Y square

square root of 24 is answer
so,solve it

Understanding the Proportion
To solve the proportion 12:y::y:2, we understand that it means "12 is to y as y is to 2". This can be expressed mathematically as:
12/y = y/2
Cross-Multiplication
We can solve this proportion using cross-multiplication:
- Multiply 12 by 2:
- 12 * 2 = 24
- Multiply y by y:
- y * y = y^2
This gives us the equation:
y^2 = 24
Finding the Value of y
To find the value of y, we need to take the square root of both sides:
- y = √24
Simplifying the Square Root
We can simplify √24:
- √24 = √(4 * 6) = √4 * √6 = 2√6
So, the value of y is 2√6.
Conclusion
The value of y in the proportion 12:y::y:2 is:
- y = 2√6
This value maintains the equality in the proportion, ensuring that the relationships among the numbers are consistent and valid.
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