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Finding the Third Proportional to 12.06 and 25.91

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Solution

The third proportional to 12.06 and 25.91 is: 55.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.06 : 25.91 = 25.91 : x
  2. Step 2: Convert to fraction form
    12.06/25.91 = 25.91/x
  3. Step 3: Cross multiply
    12.06x = 25.91 × 25.91
  4. Step 4: Simplify right side
    12.06x = 671.13
  5. Step 5: Solve for x
    x = 671.13/12.06
  6. Step 6: Final answer
    x = 55.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.