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Finding the Third Proportional to 442,864 and 687,632

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Solution

The third proportional to 442,864 and 687,632 is: 1,067,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,864 : 687,632 = 687,632 : x
  2. Step 2: Convert to fraction form
    442,864/687,632 = 687,632/x
  3. Step 3: Cross multiply
    442,864x = 687,632 × 687,632
  4. Step 4: Simplify right side
    442,864x = 472,837,767,424
  5. Step 5: Solve for x
    x = 472,837,767,424/442,864
  6. Step 6: Final answer
    x = 1,067,681.65

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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.