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Finding the Third Proportional to 9.48 and 12.22

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Solution

The third proportional to 9.48 and 12.22 is: 15.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.48 : 12.22 = 12.22 : x
  2. Step 2: Convert to fraction form
    9.48/12.22 = 12.22/x
  3. Step 3: Cross multiply
    9.48x = 12.22 × 12.22
  4. Step 4: Simplify right side
    9.48x = 149.22
  5. Step 5: Solve for x
    x = 149.22/9.48
  6. Step 6: Final answer
    x = 15.75

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.