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Finding the Third Proportional to 81,980 and 126,188

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Solution

The third proportional to 81,980 and 126,188 is: 194,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,980 : 126,188 = 126,188 : x
  2. Step 2: Convert to fraction form
    81,980/126,188 = 126,188/x
  3. Step 3: Cross multiply
    81,980x = 126,188 × 126,188
  4. Step 4: Simplify right side
    81,980x = 15,923,411,344
  5. Step 5: Solve for x
    x = 15,923,411,344/81,980
  6. Step 6: Final answer
    x = 194,235.32

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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.