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Finding the Third Proportional to 138,231 and 219,801

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Solution

The third proportional to 138,231 and 219,801 is: 349,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,231 : 219,801 = 219,801 : x
  2. Step 2: Convert to fraction form
    138,231/219,801 = 219,801/x
  3. Step 3: Cross multiply
    138,231x = 219,801 × 219,801
  4. Step 4: Simplify right side
    138,231x = 48,312,479,601
  5. Step 5: Solve for x
    x = 48,312,479,601/138,231
  6. Step 6: Final answer
    x = 349,505.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.