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Finding the Third Proportional to 37.33 and 81.39

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Solution

The third proportional to 37.33 and 81.39 is: 177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.33 : 81.39 = 81.39 : x
  2. Step 2: Convert to fraction form
    37.33/81.39 = 81.39/x
  3. Step 3: Cross multiply
    37.33x = 81.39 × 81.39
  4. Step 4: Simplify right side
    37.33x = 6,624.43
  5. Step 5: Solve for x
    x = 6,624.43/37.33
  6. Step 6: Final answer
    x = 177.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.