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Finding the Third Proportional to 11.61 and 15.53

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Solution

The third proportional to 11.61 and 15.53 is: 20.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.61 : 15.53 = 15.53 : x
  2. Step 2: Convert to fraction form
    11.61/15.53 = 15.53/x
  3. Step 3: Cross multiply
    11.61x = 15.53 × 15.53
  4. Step 4: Simplify right side
    11.61x = 241.14
  5. Step 5: Solve for x
    x = 241.14/11.61
  6. Step 6: Final answer
    x = 20.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.