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Finding the Third Proportional to 81.25 and 105.41

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Solution

The third proportional to 81.25 and 105.41 is: 136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.25 : 105.41 = 105.41 : x
  2. Step 2: Convert to fraction form
    81.25/105.41 = 105.41/x
  3. Step 3: Cross multiply
    81.25x = 105.41 × 105.41
  4. Step 4: Simplify right side
    81.25x = 11,110.48
  5. Step 5: Solve for x
    x = 11,110.48/81.25
  6. Step 6: Final answer
    x = 136.74

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.