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Finding the Third Proportional to 442,882 and 687,654

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Solution

The third proportional to 442,882 and 687,654 is: 1,067,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,882 : 687,654 = 687,654 : x
  2. Step 2: Convert to fraction form
    442,882/687,654 = 687,654/x
  3. Step 3: Cross multiply
    442,882x = 687,654 × 687,654
  4. Step 4: Simplify right side
    442,882x = 472,868,023,716
  5. Step 5: Solve for x
    x = 472,868,023,716/442,882
  6. Step 6: Final answer
    x = 1,067,706.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.