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Finding the Third Proportional to 239,708 and 521,680

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Solution

The third proportional to 239,708 and 521,680 is: 1,135,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,708 : 521,680 = 521,680 : x
  2. Step 2: Convert to fraction form
    239,708/521,680 = 521,680/x
  3. Step 3: Cross multiply
    239,708x = 521,680 × 521,680
  4. Step 4: Simplify right side
    239,708x = 272,150,022,400
  5. Step 5: Solve for x
    x = 272,150,022,400/239,708
  6. Step 6: Final answer
    x = 1,135,339.76

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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.