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Finding the Third Proportional to 157,538 and 339,812

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Solution

The third proportional to 157,538 and 339,812 is: 732,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,538 : 339,812 = 339,812 : x
  2. Step 2: Convert to fraction form
    157,538/339,812 = 339,812/x
  3. Step 3: Cross multiply
    157,538x = 339,812 × 339,812
  4. Step 4: Simplify right side
    157,538x = 115,472,195,344
  5. Step 5: Solve for x
    x = 115,472,195,344/157,538
  6. Step 6: Final answer
    x = 732,979.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.