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Finding the Third Proportional to 33.61 and 67.21

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Solution

The third proportional to 33.61 and 67.21 is: 134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.61 : 67.21 = 67.21 : x
  2. Step 2: Convert to fraction form
    33.61/67.21 = 67.21/x
  3. Step 3: Cross multiply
    33.61x = 67.21 × 67.21
  4. Step 4: Simplify right side
    33.61x = 4,517.57
  5. Step 5: Solve for x
    x = 4,517.57/33.61
  6. Step 6: Final answer
    x = 134.43

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.