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Finding the Third Proportional to 81,361 and 125,968

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Solution

The third proportional to 81,361 and 125,968 is: 195,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,361 : 125,968 = 125,968 : x
  2. Step 2: Convert to fraction form
    81,361/125,968 = 125,968/x
  3. Step 3: Cross multiply
    81,361x = 125,968 × 125,968
  4. Step 4: Simplify right side
    81,361x = 15,867,937,024
  5. Step 5: Solve for x
    x = 15,867,937,024/81,361
  6. Step 6: Final answer
    x = 195,031.24

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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.