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Finding the Third Proportional to 417,204 and 627,804

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Solution

The third proportional to 417,204 and 627,804 is: 944,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,204 : 627,804 = 627,804 : x
  2. Step 2: Convert to fraction form
    417,204/627,804 = 627,804/x
  3. Step 3: Cross multiply
    417,204x = 627,804 × 627,804
  4. Step 4: Simplify right side
    417,204x = 394,137,862,416
  5. Step 5: Solve for x
    x = 394,137,862,416/417,204
  6. Step 6: Final answer
    x = 944,712.57

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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.