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Finding the Third Proportional to 442,852 and 687,605

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Solution

The third proportional to 442,852 and 687,605 is: 1,067,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,852 : 687,605 = 687,605 : x
  2. Step 2: Convert to fraction form
    442,852/687,605 = 687,605/x
  3. Step 3: Cross multiply
    442,852x = 687,605 × 687,605
  4. Step 4: Simplify right side
    442,852x = 472,800,636,025
  5. Step 5: Solve for x
    x = 472,800,636,025/442,852
  6. Step 6: Final answer
    x = 1,067,626.74

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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.