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Finding the Third Proportional to 115.75 and 175.38

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Solution

The third proportional to 115.75 and 175.38 is: 265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.75 : 175.38 = 175.38 : x
  2. Step 2: Convert to fraction form
    115.75/175.38 = 175.38/x
  3. Step 3: Cross multiply
    115.75x = 175.38 × 175.38
  4. Step 4: Simplify right side
    115.75x = 30,756.39
  5. Step 5: Solve for x
    x = 30,756.39/115.75
  6. Step 6: Final answer
    x = 265.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.