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Finding the Third Proportional to 10.80 and 12.21

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Solution

The third proportional to 10.80 and 12.21 is: 13.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.80 : 12.21 = 12.21 : x
  2. Step 2: Convert to fraction form
    10.80/12.21 = 12.21/x
  3. Step 3: Cross multiply
    10.80x = 12.21 × 12.21
  4. Step 4: Simplify right side
    10.80x = 149.00
  5. Step 5: Solve for x
    x = 149.00/10.80
  6. Step 6: Final answer
    x = 13.79

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.