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Finding the Third Proportional to 442,860 and 687,624

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Solution

The third proportional to 442,860 and 687,624 is: 1,067,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,860 : 687,624 = 687,624 : x
  2. Step 2: Convert to fraction form
    442,860/687,624 = 687,624/x
  3. Step 3: Cross multiply
    442,860x = 687,624 × 687,624
  4. Step 4: Simplify right side
    442,860x = 472,826,765,376
  5. Step 5: Solve for x
    x = 472,826,765,376/442,860
  6. Step 6: Final answer
    x = 1,067,666.45

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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.