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Finding the Third Proportional to 115.97 and 174.69

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Solution

The third proportional to 115.97 and 174.69 is: 263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.97 : 174.69 = 174.69 : x
  2. Step 2: Convert to fraction form
    115.97/174.69 = 174.69/x
  3. Step 3: Cross multiply
    115.97x = 174.69 × 174.69
  4. Step 4: Simplify right side
    115.97x = 30,515.72
  5. Step 5: Solve for x
    x = 30,515.72/115.97
  6. Step 6: Final answer
    x = 263.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.