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Finding the Third Proportional to 417,874 and 627,739

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Solution

The third proportional to 417,874 and 627,739 is: 943,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,874 : 627,739 = 627,739 : x
  2. Step 2: Convert to fraction form
    417,874/627,739 = 627,739/x
  3. Step 3: Cross multiply
    417,874x = 627,739 × 627,739
  4. Step 4: Simplify right side
    417,874x = 394,056,252,121
  5. Step 5: Solve for x
    x = 394,056,252,121/417,874
  6. Step 6: Final answer
    x = 943,002.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.