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Finding the Third Proportional to 6.36 and 11.52

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Solution

The third proportional to 6.36 and 11.52 is: 20.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.36 : 11.52 = 11.52 : x
  2. Step 2: Convert to fraction form
    6.36/11.52 = 11.52/x
  3. Step 3: Cross multiply
    6.36x = 11.52 × 11.52
  4. Step 4: Simplify right side
    6.36x = 132.61
  5. Step 5: Solve for x
    x = 132.61/6.36
  6. Step 6: Final answer
    x = 20.85

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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.