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Finding the Third Proportional to 178,474 and 261,750

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Solution

The third proportional to 178,474 and 261,750 is: 383,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,474 : 261,750 = 261,750 : x
  2. Step 2: Convert to fraction form
    178,474/261,750 = 261,750/x
  3. Step 3: Cross multiply
    178,474x = 261,750 × 261,750
  4. Step 4: Simplify right side
    178,474x = 68,513,062,500
  5. Step 5: Solve for x
    x = 68,513,062,500/178,474
  6. Step 6: Final answer
    x = 383,882.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.