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Finding the Third Proportional to 96 and 104.75

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Solution

The third proportional to 96 and 104.75 is: 114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 104.75 = 104.75 : x
  2. Step 2: Convert to fraction form
    96/104.75 = 104.75/x
  3. Step 3: Cross multiply
    96x = 104.75 × 104.75
  4. Step 4: Simplify right side
    96x = 10,972.56
  5. Step 5: Solve for x
    x = 10,972.56/96
  6. Step 6: Final answer
    x = 114.30

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.