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Finding the Third Proportional to 6.09 and 11.17

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Solution

The third proportional to 6.09 and 11.17 is: 20.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.09 : 11.17 = 11.17 : x
  2. Step 2: Convert to fraction form
    6.09/11.17 = 11.17/x
  3. Step 3: Cross multiply
    6.09x = 11.17 × 11.17
  4. Step 4: Simplify right side
    6.09x = 124.84
  5. Step 5: Solve for x
    x = 124.84/6.09
  6. Step 6: Final answer
    x = 20.48

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.