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Finding the Third Proportional to 442,850 and 687,602

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Solution

The third proportional to 442,850 and 687,602 is: 1,067,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,850 : 687,602 = 687,602 : x
  2. Step 2: Convert to fraction form
    442,850/687,602 = 687,602/x
  3. Step 3: Cross multiply
    442,850x = 687,602 × 687,602
  4. Step 4: Simplify right side
    442,850x = 472,796,510,404
  5. Step 5: Solve for x
    x = 472,796,510,404/442,850
  6. Step 6: Final answer
    x = 1,067,622.24

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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.