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Finding the Third Proportional to 115.44 and 170.97

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Solution

The third proportional to 115.44 and 170.97 is: 253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.44 : 170.97 = 170.97 : x
  2. Step 2: Convert to fraction form
    115.44/170.97 = 170.97/x
  3. Step 3: Cross multiply
    115.44x = 170.97 × 170.97
  4. Step 4: Simplify right side
    115.44x = 29,230.31
  5. Step 5: Solve for x
    x = 29,230.31/115.44
  6. Step 6: Final answer
    x = 253.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.