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Finding the Third Proportional to 81,381 and 121,992

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Solution

The third proportional to 81,381 and 121,992 is: 182,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,381 : 121,992 = 121,992 : x
  2. Step 2: Convert to fraction form
    81,381/121,992 = 121,992/x
  3. Step 3: Cross multiply
    81,381x = 121,992 × 121,992
  4. Step 4: Simplify right side
    81,381x = 14,882,048,064
  5. Step 5: Solve for x
    x = 14,882,048,064/81,381
  6. Step 6: Final answer
    x = 182,868.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.