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Finding the Third Proportional to 77.81 and 108.19

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Solution

The third proportional to 77.81 and 108.19 is: 150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.81 : 108.19 = 108.19 : x
  2. Step 2: Convert to fraction form
    77.81/108.19 = 108.19/x
  3. Step 3: Cross multiply
    77.81x = 108.19 × 108.19
  4. Step 4: Simplify right side
    77.81x = 11,704.54
  5. Step 5: Solve for x
    x = 11,704.54/77.81
  6. Step 6: Final answer
    x = 150.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.