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Finding the Third Proportional to 18.41 and 28.28

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Solution

The third proportional to 18.41 and 28.28 is: 43.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.41 : 28.28 = 28.28 : x
  2. Step 2: Convert to fraction form
    18.41/28.28 = 28.28/x
  3. Step 3: Cross multiply
    18.41x = 28.28 × 28.28
  4. Step 4: Simplify right side
    18.41x = 799.83
  5. Step 5: Solve for x
    x = 799.83/18.41
  6. Step 6: Final answer
    x = 43.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.