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Finding the Third Proportional to 138,149 and 213,966

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Solution

The third proportional to 138,149 and 213,966 is: 331,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,149 : 213,966 = 213,966 : x
  2. Step 2: Convert to fraction form
    138,149/213,966 = 213,966/x
  3. Step 3: Cross multiply
    138,149x = 213,966 × 213,966
  4. Step 4: Simplify right side
    138,149x = 45,781,449,156
  5. Step 5: Solve for x
    x = 45,781,449,156/138,149
  6. Step 6: Final answer
    x = 331,391.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.