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Finding the Third Proportional to 81,974 and 126,179

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Solution

The third proportional to 81,974 and 126,179 is: 194,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,974 : 126,179 = 126,179 : x
  2. Step 2: Convert to fraction form
    81,974/126,179 = 126,179/x
  3. Step 3: Cross multiply
    81,974x = 126,179 × 126,179
  4. Step 4: Simplify right side
    81,974x = 15,921,140,041
  5. Step 5: Solve for x
    x = 15,921,140,041/81,974
  6. Step 6: Final answer
    x = 194,221.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.