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Finding the Third Proportional to 278,264 and 372,780

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Solution

The third proportional to 278,264 and 372,780 is: 499,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,264 : 372,780 = 372,780 : x
  2. Step 2: Convert to fraction form
    278,264/372,780 = 372,780/x
  3. Step 3: Cross multiply
    278,264x = 372,780 × 372,780
  4. Step 4: Simplify right side
    278,264x = 138,964,928,400
  5. Step 5: Solve for x
    x = 138,964,928,400/278,264
  6. Step 6: Final answer
    x = 499,399.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.