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Finding the Third Proportional to 96.11 and 136.95

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Solution

The third proportional to 96.11 and 136.95 is: 195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.11 : 136.95 = 136.95 : x
  2. Step 2: Convert to fraction form
    96.11/136.95 = 136.95/x
  3. Step 3: Cross multiply
    96.11x = 136.95 × 136.95
  4. Step 4: Simplify right side
    96.11x = 18,756.53
  5. Step 5: Solve for x
    x = 18,756.53/96.11
  6. Step 6: Final answer
    x = 195.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.