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Finding the Third Proportional to 81,658 and 126,186

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Solution

The third proportional to 81,658 and 126,186 is: 194,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658 : 126,186 = 126,186 : x
  2. Step 2: Convert to fraction form
    81,658/126,186 = 126,186/x
  3. Step 3: Cross multiply
    81,658x = 126,186 × 126,186
  4. Step 4: Simplify right side
    81,658x = 15,922,906,596
  5. Step 5: Solve for x
    x = 15,922,906,596/81,658
  6. Step 6: Final answer
    x = 194,995.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.