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Finding the Third Proportional to 77.44 and 115.31

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Solution

The third proportional to 77.44 and 115.31 is: 171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.44 : 115.31 = 115.31 : x
  2. Step 2: Convert to fraction form
    77.44/115.31 = 115.31/x
  3. Step 3: Cross multiply
    77.44x = 115.31 × 115.31
  4. Step 4: Simplify right side
    77.44x = 13,296.97
  5. Step 5: Solve for x
    x = 13,296.97/77.44
  6. Step 6: Final answer
    x = 171.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.