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Finding the Third Proportional to 21.09 and 28.27

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Solution

The third proportional to 21.09 and 28.27 is: 37.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.09 : 28.27 = 28.27 : x
  2. Step 2: Convert to fraction form
    21.09/28.27 = 28.27/x
  3. Step 3: Cross multiply
    21.09x = 28.27 × 28.27
  4. Step 4: Simplify right side
    21.09x = 798.95
  5. Step 5: Solve for x
    x = 798.95/21.09
  6. Step 6: Final answer
    x = 37.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.