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Finding the Third Proportional to 417,872 and 627,736

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Solution

The third proportional to 417,872 and 627,736 is: 942,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,872 : 627,736 = 627,736 : x
  2. Step 2: Convert to fraction form
    417,872/627,736 = 627,736/x
  3. Step 3: Cross multiply
    417,872x = 627,736 × 627,736
  4. Step 4: Simplify right side
    417,872x = 394,052,485,696
  5. Step 5: Solve for x
    x = 394,052,485,696/417,872
  6. Step 6: Final answer
    x = 942,998.06

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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.