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Finding the Third Proportional to 407,454 and 532,387

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Solution

The third proportional to 407,454 and 532,387 is: 695,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,454 : 532,387 = 532,387 : x
  2. Step 2: Convert to fraction form
    407,454/532,387 = 532,387/x
  3. Step 3: Cross multiply
    407,454x = 532,387 × 532,387
  4. Step 4: Simplify right side
    407,454x = 283,435,917,769
  5. Step 5: Solve for x
    x = 283,435,917,769/407,454
  6. Step 6: Final answer
    x = 695,626.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.