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Finding the Third Proportional to 37.94 and 81.81

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Solution

The third proportional to 37.94 and 81.81 is: 176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.94 : 81.81 = 81.81 : x
  2. Step 2: Convert to fraction form
    37.94/81.81 = 81.81/x
  3. Step 3: Cross multiply
    37.94x = 81.81 × 81.81
  4. Step 4: Simplify right side
    37.94x = 6,693.29
  5. Step 5: Solve for x
    x = 6,693.29/37.94
  6. Step 6: Final answer
    x = 176.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.