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Finding the Third Proportional to 278,327 and 416,756

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Solution

The third proportional to 278,327 and 416,756 is: 624,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,327 : 416,756 = 416,756 : x
  2. Step 2: Convert to fraction form
    278,327/416,756 = 416,756/x
  3. Step 3: Cross multiply
    278,327x = 416,756 × 416,756
  4. Step 4: Simplify right side
    278,327x = 173,685,563,536
  5. Step 5: Solve for x
    x = 173,685,563,536/278,327
  6. Step 6: Final answer
    x = 624,034.19

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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.