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Finding the Third Proportional to 178,498 and 267,755

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Solution

The third proportional to 178,498 and 267,755 is: 401,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,498 : 267,755 = 267,755 : x
  2. Step 2: Convert to fraction form
    178,498/267,755 = 267,755/x
  3. Step 3: Cross multiply
    178,498x = 267,755 × 267,755
  4. Step 4: Simplify right side
    178,498x = 71,692,740,025
  5. Step 5: Solve for x
    x = 71,692,740,025/178,498
  6. Step 6: Final answer
    x = 401,644.50

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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.