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Finding the Third Proportional to 7.75 and 11.88

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Solution

The third proportional to 7.75 and 11.88 is: 18.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.75 : 11.88 = 11.88 : x
  2. Step 2: Convert to fraction form
    7.75/11.88 = 11.88/x
  3. Step 3: Cross multiply
    7.75x = 11.88 × 11.88
  4. Step 4: Simplify right side
    7.75x = 141.02
  5. Step 5: Solve for x
    x = 141.02/7.75
  6. Step 6: Final answer
    x = 18.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.