Finding the Third Proportional to 411 and 457
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Solution
The third proportional to 411 and 457 is: 508.15
Step by Step Solution
- Step 1: Write the proportion equation
411 : 457 = 457 : x - Step 2: Convert to fraction form
411/457 = 457/x - Step 3: Cross multiply
411x = 457 × 457 - Step 4: Simplify right side
411x = 208,849 - Step 5: Solve for x
x = 208,849/411 - Step 6: Final answer
x = 508.15
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Why These Related Problems?
These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.