Finding the Third Proportional to 411 and 461
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Solution
The third proportional to 411 and 461 is: 517.08
Step by Step Solution
- Step 1: Write the proportion equation
411 : 461 = 461 : x - Step 2: Convert to fraction form
411/461 = 461/x - Step 3: Cross multiply
411x = 461 × 461 - Step 4: Simplify right side
411x = 212,521 - Step 5: Solve for x
x = 212,521/411 - Step 6: Final answer
x = 517.08
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.