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Finding the Third Proportional to 5.20 and 11.41

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Solution

The third proportional to 5.20 and 11.41 is: 25.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.20 : 11.41 = 11.41 : x
  2. Step 2: Convert to fraction form
    5.20/11.41 = 11.41/x
  3. Step 3: Cross multiply
    5.20x = 11.41 × 11.41
  4. Step 4: Simplify right side
    5.20x = 130.30
  5. Step 5: Solve for x
    x = 130.30/5.20
  6. Step 6: Final answer
    x = 25.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.