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Finding the Third Proportional to 9.61 and 12.81

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Solution

The third proportional to 9.61 and 12.81 is: 17.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.61 : 12.81 = 12.81 : x
  2. Step 2: Convert to fraction form
    9.61/12.81 = 12.81/x
  3. Step 3: Cross multiply
    9.61x = 12.81 × 12.81
  4. Step 4: Simplify right side
    9.61x = 164.21
  5. Step 5: Solve for x
    x = 164.21/9.61
  6. Step 6: Final answer
    x = 17.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.