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Finding the Third Proportional to 115.75 and 213.88

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Solution

The third proportional to 115.75 and 213.88 is: 395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.75 : 213.88 = 213.88 : x
  2. Step 2: Convert to fraction form
    115.75/213.88 = 213.88/x
  3. Step 3: Cross multiply
    115.75x = 213.88 × 213.88
  4. Step 4: Simplify right side
    115.75x = 45,742.52
  5. Step 5: Solve for x
    x = 45,742.52/115.75
  6. Step 6: Final answer
    x = 395.18

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.