Finding the Third Proportional to 32 and 82.50
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Solution
The third proportional to 32 and 82.50 is: 212.70
Step by Step Solution
- Step 1: Write the proportion equation
32 : 82.50 = 82.50 : x - Step 2: Convert to fraction form
32/82.50 = 82.50/x - Step 3: Cross multiply
32x = 82.50 × 82.50 - Step 4: Simplify right side
32x = 6,806.25 - Step 5: Solve for x
x = 6,806.25/32 - Step 6: Final answer
x = 212.70
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Why These Related Problems?
These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.