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Finding the Third Proportional to 67.19 and 95.91

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Solution

The third proportional to 67.19 and 95.91 is: 136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.19 : 95.91 = 95.91 : x
  2. Step 2: Convert to fraction form
    67.19/95.91 = 95.91/x
  3. Step 3: Cross multiply
    67.19x = 95.91 × 95.91
  4. Step 4: Simplify right side
    67.19x = 9,198.01
  5. Step 5: Solve for x
    x = 9,198.01/67.19
  6. Step 6: Final answer
    x = 136.90

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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.