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Finding the Third Proportional to 9.69 and 11.06

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Solution

The third proportional to 9.69 and 11.06 is: 12.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.69 : 11.06 = 11.06 : x
  2. Step 2: Convert to fraction form
    9.69/11.06 = 11.06/x
  3. Step 3: Cross multiply
    9.69x = 11.06 × 11.06
  4. Step 4: Simplify right side
    9.69x = 122.43
  5. Step 5: Solve for x
    x = 122.43/9.69
  6. Step 6: Final answer
    x = 12.64

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.