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Finding the Third Proportional to 11.30 and 15.41

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Solution

The third proportional to 11.30 and 15.41 is: 21.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.30 : 15.41 = 15.41 : x
  2. Step 2: Convert to fraction form
    11.30/15.41 = 15.41/x
  3. Step 3: Cross multiply
    11.30x = 15.41 × 15.41
  4. Step 4: Simplify right side
    11.30x = 237.53
  5. Step 5: Solve for x
    x = 237.53/11.30
  6. Step 6: Final answer
    x = 21.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.