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Finding the Third Proportional to 417,816 and 627,651

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Solution

The third proportional to 417,816 and 627,651 is: 942,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,816 : 627,651 = 627,651 : x
  2. Step 2: Convert to fraction form
    417,816/627,651 = 627,651/x
  3. Step 3: Cross multiply
    417,816x = 627,651 × 627,651
  4. Step 4: Simplify right side
    417,816x = 393,945,777,801
  5. Step 5: Solve for x
    x = 393,945,777,801/417,816
  6. Step 6: Final answer
    x = 942,869.06

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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.