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Finding the Third Proportional to 6 and 11.56

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Solution

The third proportional to 6 and 11.56 is: 22.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 11.56 = 11.56 : x
  2. Step 2: Convert to fraction form
    6/11.56 = 11.56/x
  3. Step 3: Cross multiply
    6x = 11.56 × 11.56
  4. Step 4: Simplify right side
    6x = 133.69
  5. Step 5: Solve for x
    x = 133.69/6
  6. Step 6: Final answer
    x = 22.28

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.