Finding the Third Proportional to 82 and 132.75
Calculator
Solution
The third proportional to 82 and 132.75 is: 214.91
Step by Step Solution
- Step 1: Write the proportion equation
82 : 132.75 = 132.75 : x - Step 2: Convert to fraction form
82/132.75 = 132.75/x - Step 3: Cross multiply
82x = 132.75 × 132.75 - Step 4: Simplify right side
82x = 17,622.56 - Step 5: Solve for x
x = 17,622.56/82 - Step 6: Final answer
x = 214.91
Related Problems
Find third proportional to 41 and 66.38
Half scale
Find third proportional to 164 and 265.50
Double scale
Find third proportional to 84 and 136
Similar ratio
Find third proportional to 123 and 199.13
1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.