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Finding the Third Proportional to 81,988 and 125,361

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Solution

The third proportional to 81,988 and 125,361 is: 191,679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,988 : 125,361 = 125,361 : x
  2. Step 2: Convert to fraction form
    81,988/125,361 = 125,361/x
  3. Step 3: Cross multiply
    81,988x = 125,361 × 125,361
  4. Step 4: Simplify right side
    81,988x = 15,715,380,321
  5. Step 5: Solve for x
    x = 15,715,380,321/81,988
  6. Step 6: Final answer
    x = 191,679.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.