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Finding the Third Proportional to 63,869 and 131,839

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Solution

The third proportional to 63,869 and 131,839 is: 272,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,869 : 131,839 = 131,839 : x
  2. Step 2: Convert to fraction form
    63,869/131,839 = 131,839/x
  3. Step 3: Cross multiply
    63,869x = 131,839 × 131,839
  4. Step 4: Simplify right side
    63,869x = 17,381,521,921
  5. Step 5: Solve for x
    x = 17,381,521,921/63,869
  6. Step 6: Final answer
    x = 272,143.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.