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Finding the Third Proportional to 9 and 13.56

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Solution

The third proportional to 9 and 13.56 is: 20.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9 : 13.56 = 13.56 : x
  2. Step 2: Convert to fraction form
    9/13.56 = 13.56/x
  3. Step 3: Cross multiply
    9x = 13.56 × 13.56
  4. Step 4: Simplify right side
    9x = 183.94
  5. Step 5: Solve for x
    x = 183.94/9
  6. Step 6: Final answer
    x = 20.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.