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Finding the Third Proportional to 11.61 and 15.84

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Solution

The third proportional to 11.61 and 15.84 is: 21.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.61 : 15.84 = 15.84 : x
  2. Step 2: Convert to fraction form
    11.61/15.84 = 15.84/x
  3. Step 3: Cross multiply
    11.61x = 15.84 × 15.84
  4. Step 4: Simplify right side
    11.61x = 250.76
  5. Step 5: Solve for x
    x = 250.76/11.61
  6. Step 6: Final answer
    x = 21.59

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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.