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Finding the Third Proportional to 11.88 and 25.56

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Solution

The third proportional to 11.88 and 25.56 is: 55.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.88 : 25.56 = 25.56 : x
  2. Step 2: Convert to fraction form
    11.88/25.56 = 25.56/x
  3. Step 3: Cross multiply
    11.88x = 25.56 × 25.56
  4. Step 4: Simplify right side
    11.88x = 653.44
  5. Step 5: Solve for x
    x = 653.44/11.88
  6. Step 6: Final answer
    x = 55.03

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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.