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Finding the Third Proportional to 8.73 and 20.36

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Solution

The third proportional to 8.73 and 20.36 is: 47.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.73 : 20.36 = 20.36 : x
  2. Step 2: Convert to fraction form
    8.73/20.36 = 20.36/x
  3. Step 3: Cross multiply
    8.73x = 20.36 × 20.36
  4. Step 4: Simplify right side
    8.73x = 414.35
  5. Step 5: Solve for x
    x = 414.35/8.73
  6. Step 6: Final answer
    x = 47.48

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.