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Finding the Third Proportional to 239,704 and 521,672

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Solution

The third proportional to 239,704 and 521,672 is: 1,135,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,704 : 521,672 = 521,672 : x
  2. Step 2: Convert to fraction form
    239,704/521,672 = 521,672/x
  3. Step 3: Cross multiply
    239,704x = 521,672 × 521,672
  4. Step 4: Simplify right side
    239,704x = 272,141,675,584
  5. Step 5: Solve for x
    x = 272,141,675,584/239,704
  6. Step 6: Final answer
    x = 1,135,323.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.