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Finding the Third Proportional to 6.84 and 11.97

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Solution

The third proportional to 6.84 and 11.97 is: 20.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.84 : 11.97 = 11.97 : x
  2. Step 2: Convert to fraction form
    6.84/11.97 = 11.97/x
  3. Step 3: Cross multiply
    6.84x = 11.97 × 11.97
  4. Step 4: Simplify right side
    6.84x = 143.37
  5. Step 5: Solve for x
    x = 143.37/6.84
  6. Step 6: Final answer
    x = 20.95

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.