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Finding the Third Proportional to 178,267 and 267,439

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Solution

The third proportional to 178,267 and 267,439 is: 401,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,267 : 267,439 = 267,439 : x
  2. Step 2: Convert to fraction form
    178,267/267,439 = 267,439/x
  3. Step 3: Cross multiply
    178,267x = 267,439 × 267,439
  4. Step 4: Simplify right side
    178,267x = 71,523,618,721
  5. Step 5: Solve for x
    x = 71,523,618,721/178,267
  6. Step 6: Final answer
    x = 401,216.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.