Finding the Third Proportional to 410 and 691.50
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Solution
The third proportional to 410 and 691.50 is: 1,166.27
Step by Step Solution
- Step 1: Write the proportion equation
410 : 691.50 = 691.50 : x - Step 2: Convert to fraction form
410/691.50 = 691.50/x - Step 3: Cross multiply
410x = 691.50 × 691.50 - Step 4: Simplify right side
410x = 478,172.25 - Step 5: Solve for x
x = 478,172.25/410 - Step 6: Final answer
x = 1,166.27
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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.