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Finding the Third Proportional to 133,684 and 178,398

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Solution

The third proportional to 133,684 and 178,398 is: 238,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,684 : 178,398 = 178,398 : x
  2. Step 2: Convert to fraction form
    133,684/178,398 = 178,398/x
  3. Step 3: Cross multiply
    133,684x = 178,398 × 178,398
  4. Step 4: Simplify right side
    133,684x = 31,825,846,404
  5. Step 5: Solve for x
    x = 31,825,846,404/133,684
  6. Step 6: Final answer
    x = 238,067.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.