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Finding the Third Proportional to 278,296 and 422,756

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Solution

The third proportional to 278,296 and 422,756 is: 642,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,296 : 422,756 = 422,756 : x
  2. Step 2: Convert to fraction form
    278,296/422,756 = 422,756/x
  3. Step 3: Cross multiply
    278,296x = 422,756 × 422,756
  4. Step 4: Simplify right side
    278,296x = 178,722,635,536
  5. Step 5: Solve for x
    x = 178,722,635,536/278,296
  6. Step 6: Final answer
    x = 642,203.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.