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Finding the Third Proportional to 408,904 and 627,638

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Solution

The third proportional to 408,904 and 627,638 is: 963,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,904 : 627,638 = 627,638 : x
  2. Step 2: Convert to fraction form
    408,904/627,638 = 627,638/x
  3. Step 3: Cross multiply
    408,904x = 627,638 × 627,638
  4. Step 4: Simplify right side
    408,904x = 393,929,459,044
  5. Step 5: Solve for x
    x = 393,929,459,044/408,904
  6. Step 6: Final answer
    x = 963,378.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.