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Finding the Third Proportional to 21.97 and 25.19

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Solution

The third proportional to 21.97 and 25.19 is: 28.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.97 : 25.19 = 25.19 : x
  2. Step 2: Convert to fraction form
    21.97/25.19 = 25.19/x
  3. Step 3: Cross multiply
    21.97x = 25.19 × 25.19
  4. Step 4: Simplify right side
    21.97x = 634.41
  5. Step 5: Solve for x
    x = 634.41/21.97
  6. Step 6: Final answer
    x = 28.88

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.