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Finding the Third Proportional to 16.22 and 25.39

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Solution

The third proportional to 16.22 and 25.39 is: 39.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.22 : 25.39 = 25.39 : x
  2. Step 2: Convert to fraction form
    16.22/25.39 = 25.39/x
  3. Step 3: Cross multiply
    16.22x = 25.39 × 25.39
  4. Step 4: Simplify right side
    16.22x = 644.68
  5. Step 5: Solve for x
    x = 644.68/16.22
  6. Step 6: Final answer
    x = 39.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.