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Finding the Third Proportional to 21.73 and 28.90

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Solution

The third proportional to 21.73 and 28.90 is: 38.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.73 : 28.90 = 28.90 : x
  2. Step 2: Convert to fraction form
    21.73/28.90 = 28.90/x
  3. Step 3: Cross multiply
    21.73x = 28.90 × 28.90
  4. Step 4: Simplify right side
    21.73x = 835.12
  5. Step 5: Solve for x
    x = 835.12/21.73
  6. Step 6: Final answer
    x = 38.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.