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Finding the Third Proportional to 20.16 and 27.83

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Solution

The third proportional to 20.16 and 27.83 is: 38.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.16 : 27.83 = 27.83 : x
  2. Step 2: Convert to fraction form
    20.16/27.83 = 27.83/x
  3. Step 3: Cross multiply
    20.16x = 27.83 × 27.83
  4. Step 4: Simplify right side
    20.16x = 774.59
  5. Step 5: Solve for x
    x = 774.59/20.16
  6. Step 6: Final answer
    x = 38.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.