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Finding the Third Proportional to 138,512 and 203,151

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Solution

The third proportional to 138,512 and 203,151 is: 297,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,512 : 203,151 = 203,151 : x
  2. Step 2: Convert to fraction form
    138,512/203,151 = 203,151/x
  3. Step 3: Cross multiply
    138,512x = 203,151 × 203,151
  4. Step 4: Simplify right side
    138,512x = 41,270,328,801
  5. Step 5: Solve for x
    x = 41,270,328,801/138,512
  6. Step 6: Final answer
    x = 297,954.90

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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.