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Finding the Third Proportional to 6.86 and 11.08

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Solution

The third proportional to 6.86 and 11.08 is: 17.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.86 : 11.08 = 11.08 : x
  2. Step 2: Convert to fraction form
    6.86/11.08 = 11.08/x
  3. Step 3: Cross multiply
    6.86x = 11.08 × 11.08
  4. Step 4: Simplify right side
    6.86x = 122.87
  5. Step 5: Solve for x
    x = 122.87/6.86
  6. Step 6: Final answer
    x = 17.91

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.