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Finding the Third Proportional to 138,274 and 219,866

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Solution

The third proportional to 138,274 and 219,866 is: 349,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,274 : 219,866 = 219,866 : x
  2. Step 2: Convert to fraction form
    138,274/219,866 = 219,866/x
  3. Step 3: Cross multiply
    138,274x = 219,866 × 219,866
  4. Step 4: Simplify right side
    138,274x = 48,341,057,956
  5. Step 5: Solve for x
    x = 48,341,057,956/138,274
  6. Step 6: Final answer
    x = 349,603.38

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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.