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Finding the Third Proportional to 9.69 and 13.16

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Solution

The third proportional to 9.69 and 13.16 is: 17.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.69 : 13.16 = 13.16 : x
  2. Step 2: Convert to fraction form
    9.69/13.16 = 13.16/x
  3. Step 3: Cross multiply
    9.69x = 13.16 × 13.16
  4. Step 4: Simplify right side
    9.69x = 173.09
  5. Step 5: Solve for x
    x = 173.09/9.69
  6. Step 6: Final answer
    x = 17.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.