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Finding the Third Proportional to 11.76 and 20.18

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Solution

The third proportional to 11.76 and 20.18 is: 34.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.76 : 20.18 = 20.18 : x
  2. Step 2: Convert to fraction form
    11.76/20.18 = 20.18/x
  3. Step 3: Cross multiply
    11.76x = 20.18 × 20.18
  4. Step 4: Simplify right side
    11.76x = 407.17
  5. Step 5: Solve for x
    x = 407.17/11.76
  6. Step 6: Final answer
    x = 34.63

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.