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Finding the Third Proportional to 115.80 and 175.61

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Solution

The third proportional to 115.80 and 175.61 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.80 : 175.61 = 175.61 : x
  2. Step 2: Convert to fraction form
    115.80/175.61 = 175.61/x
  3. Step 3: Cross multiply
    115.80x = 175.61 × 175.61
  4. Step 4: Simplify right side
    115.80x = 30,837.28
  5. Step 5: Solve for x
    x = 30,837.28/115.80
  6. Step 6: Final answer
    x = 266.29

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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.