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Finding the Third Proportional to 115.65 and 252.97

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Solution

The third proportional to 115.65 and 252.97 is: 553.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.65 : 252.97 = 252.97 : x
  2. Step 2: Convert to fraction form
    115.65/252.97 = 252.97/x
  3. Step 3: Cross multiply
    115.65x = 252.97 × 252.97
  4. Step 4: Simplify right side
    115.65x = 63,992.20
  5. Step 5: Solve for x
    x = 63,992.20/115.65
  6. Step 6: Final answer
    x = 553.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.