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Finding the Third Proportional to 67.81 and 133.44

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Solution

The third proportional to 67.81 and 133.44 is: 262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.81 : 133.44 = 133.44 : x
  2. Step 2: Convert to fraction form
    67.81/133.44 = 133.44/x
  3. Step 3: Cross multiply
    67.81x = 133.44 × 133.44
  4. Step 4: Simplify right side
    67.81x = 17,805.57
  5. Step 5: Solve for x
    x = 17,805.57/67.81
  6. Step 6: Final answer
    x = 262.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.