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Finding the Third Proportional to 417,240 and 627,856

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Solution

The third proportional to 417,240 and 627,856 is: 944,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,240 : 627,856 = 627,856 : x
  2. Step 2: Convert to fraction form
    417,240/627,856 = 627,856/x
  3. Step 3: Cross multiply
    417,240x = 627,856 × 627,856
  4. Step 4: Simplify right side
    417,240x = 394,203,156,736
  5. Step 5: Solve for x
    x = 394,203,156,736/417,240
  6. Step 6: Final answer
    x = 944,787.55

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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.