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Finding the Third Proportional to 81,538 and 126,019

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Solution

The third proportional to 81,538 and 126,019 is: 194,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,538 : 126,019 = 126,019 : x
  2. Step 2: Convert to fraction form
    81,538/126,019 = 126,019/x
  3. Step 3: Cross multiply
    81,538x = 126,019 × 126,019
  4. Step 4: Simplify right side
    81,538x = 15,880,788,361
  5. Step 5: Solve for x
    x = 15,880,788,361/81,538
  6. Step 6: Final answer
    x = 194,765.49

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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.