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Finding the Third Proportional to 33.38 and 40.66

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Solution

The third proportional to 33.38 and 40.66 is: 49.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.38 : 40.66 = 40.66 : x
  2. Step 2: Convert to fraction form
    33.38/40.66 = 40.66/x
  3. Step 3: Cross multiply
    33.38x = 40.66 × 40.66
  4. Step 4: Simplify right side
    33.38x = 1,653.57
  5. Step 5: Solve for x
    x = 1,653.57/33.38
  6. Step 6: Final answer
    x = 49.55

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.