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Finding the Third Proportional to 278,724 and 543,432

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Solution

The third proportional to 278,724 and 543,432 is: 1,059,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,724 : 543,432 = 543,432 : x
  2. Step 2: Convert to fraction form
    278,724/543,432 = 543,432/x
  3. Step 3: Cross multiply
    278,724x = 543,432 × 543,432
  4. Step 4: Simplify right side
    278,724x = 295,318,338,624
  5. Step 5: Solve for x
    x = 295,318,338,624/278,724
  6. Step 6: Final answer
    x = 1,059,536.81

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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.