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Finding the Third Proportional to 278,720 and 543,424

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Solution

The third proportional to 278,720 and 543,424 is: 1,059,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,720 : 543,424 = 543,424 : x
  2. Step 2: Convert to fraction form
    278,720/543,424 = 543,424/x
  3. Step 3: Cross multiply
    278,720x = 543,424 × 543,424
  4. Step 4: Simplify right side
    278,720x = 295,309,643,776
  5. Step 5: Solve for x
    x = 295,309,643,776/278,720
  6. Step 6: Final answer
    x = 1,059,520.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.