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Finding the Third Proportional to 442,878 and 687,645

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Solution

The third proportional to 442,878 and 687,645 is: 1,067,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,878 : 687,645 = 687,645 : x
  2. Step 2: Convert to fraction form
    442,878/687,645 = 687,645/x
  3. Step 3: Cross multiply
    442,878x = 687,645 × 687,645
  4. Step 4: Simplify right side
    442,878x = 472,855,646,025
  5. Step 5: Solve for x
    x = 472,855,646,025/442,878
  6. Step 6: Final answer
    x = 1,067,688.27

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