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Finding the Third Proportional to 6 and 10.88

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Solution

The third proportional to 6 and 10.88 is: 19.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 10.88 = 10.88 : x
  2. Step 2: Convert to fraction form
    6/10.88 = 10.88/x
  3. Step 3: Cross multiply
    6x = 10.88 × 10.88
  4. Step 4: Simplify right side
    6x = 118.27
  5. Step 5: Solve for x
    x = 118.27/6
  6. Step 6: Final answer
    x = 19.71

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.