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Finding the Third Proportional to 408,960 and 627,741

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Solution

The third proportional to 408,960 and 627,741 is: 963,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,960 : 627,741 = 627,741 : x
  2. Step 2: Convert to fraction form
    408,960/627,741 = 627,741/x
  3. Step 3: Cross multiply
    408,960x = 627,741 × 627,741
  4. Step 4: Simplify right side
    408,960x = 394,058,763,081
  5. Step 5: Solve for x
    x = 394,058,763,081/408,960
  6. Step 6: Final answer
    x = 963,563.09

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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.