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Finding the Third Proportional to 11.45 and 25.21

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Solution

The third proportional to 11.45 and 25.21 is: 55.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.45 : 25.21 = 25.21 : x
  2. Step 2: Convert to fraction form
    11.45/25.21 = 25.21/x
  3. Step 3: Cross multiply
    11.45x = 25.21 × 25.21
  4. Step 4: Simplify right side
    11.45x = 635.73
  5. Step 5: Solve for x
    x = 635.73/11.45
  6. Step 6: Final answer
    x = 55.52

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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.