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Finding the Third Proportional to 81.11 and 177.71

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Solution

The third proportional to 81.11 and 177.71 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.11 : 177.71 = 177.71 : x
  2. Step 2: Convert to fraction form
    81.11/177.71 = 177.71/x
  3. Step 3: Cross multiply
    81.11x = 177.71 × 177.71
  4. Step 4: Simplify right side
    81.11x = 31,582.57
  5. Step 5: Solve for x
    x = 31,582.57/81.11
  6. Step 6: Final answer
    x = 389.40

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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.