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Finding the Third Proportional to 33.81 and 74.38

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Solution

The third proportional to 33.81 and 74.38 is: 163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.81 : 74.38 = 74.38 : x
  2. Step 2: Convert to fraction form
    33.81/74.38 = 74.38/x
  3. Step 3: Cross multiply
    33.81x = 74.38 × 74.38
  4. Step 4: Simplify right side
    33.81x = 5,531.64
  5. Step 5: Solve for x
    x = 5,531.64/33.81
  6. Step 6: Final answer
    x = 163.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.