Finding the Third Proportional to 252 and 415.50
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Solution
The third proportional to 252 and 415.50 is: 685.08
Step by Step Solution
- Step 1: Write the proportion equation
252 : 415.50 = 415.50 : x - Step 2: Convert to fraction form
252/415.50 = 415.50/x - Step 3: Cross multiply
252x = 415.50 × 415.50 - Step 4: Simplify right side
252x = 172,640.25 - Step 5: Solve for x
x = 172,640.25/252 - Step 6: Final answer
x = 685.08
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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.