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Finding the Third Proportional to 442,838 and 687,587

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Solution

The third proportional to 442,838 and 687,587 is: 1,067,604.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,838 : 687,587 = 687,587 : x
  2. Step 2: Convert to fraction form
    442,838/687,587 = 687,587/x
  3. Step 3: Cross multiply
    442,838x = 687,587 × 687,587
  4. Step 4: Simplify right side
    442,838x = 472,775,882,569
  5. Step 5: Solve for x
    x = 472,775,882,569/442,838
  6. Step 6: Final answer
    x = 1,067,604.59

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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.