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Finding the Third Proportional to 12.88 and 22.09

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Solution

The third proportional to 12.88 and 22.09 is: 37.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.88 : 22.09 = 22.09 : x
  2. Step 2: Convert to fraction form
    12.88/22.09 = 22.09/x
  3. Step 3: Cross multiply
    12.88x = 22.09 × 22.09
  4. Step 4: Simplify right side
    12.88x = 488.13
  5. Step 5: Solve for x
    x = 488.13/12.88
  6. Step 6: Final answer
    x = 37.91

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.