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Finding the Third Proportional to 81.81 and 178.81

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Solution

The third proportional to 81.81 and 178.81 is: 390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.81 : 178.81 = 178.81 : x
  2. Step 2: Convert to fraction form
    81.81/178.81 = 178.81/x
  3. Step 3: Cross multiply
    81.81x = 178.81 × 178.81
  4. Step 4: Simplify right side
    81.81x = 31,973.91
  5. Step 5: Solve for x
    x = 31,973.91/81.81
  6. Step 6: Final answer
    x = 390.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.