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Finding the Third Proportional to 81,092 and 129,133

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Solution

The third proportional to 81,092 and 129,133 is: 205,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,092 : 129,133 = 129,133 : x
  2. Step 2: Convert to fraction form
    81,092/129,133 = 129,133/x
  3. Step 3: Cross multiply
    81,092x = 129,133 × 129,133
  4. Step 4: Simplify right side
    81,092x = 16,675,331,689
  5. Step 5: Solve for x
    x = 16,675,331,689/81,092
  6. Step 6: Final answer
    x = 205,634.73

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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.