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Finding the Third Proportional to 28.39 and 36.41

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Solution

The third proportional to 28.39 and 36.41 is: 46.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.39 : 36.41 = 36.41 : x
  2. Step 2: Convert to fraction form
    28.39/36.41 = 36.41/x
  3. Step 3: Cross multiply
    28.39x = 36.41 × 36.41
  4. Step 4: Simplify right side
    28.39x = 1,325.95
  5. Step 5: Solve for x
    x = 1,325.95/28.39
  6. Step 6: Final answer
    x = 46.70

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.