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Finding the Third Proportional to 17.89 and 20.47

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Solution

The third proportional to 17.89 and 20.47 is: 23.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.89 : 20.47 = 20.47 : x
  2. Step 2: Convert to fraction form
    17.89/20.47 = 20.47/x
  3. Step 3: Cross multiply
    17.89x = 20.47 × 20.47
  4. Step 4: Simplify right side
    17.89x = 418.92
  5. Step 5: Solve for x
    x = 418.92/17.89
  6. Step 6: Final answer
    x = 23.42

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.