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Finding the Third Proportional to 28.31 and 43.97

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Solution

The third proportional to 28.31 and 43.97 is: 68.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.31 : 43.97 = 43.97 : x
  2. Step 2: Convert to fraction form
    28.31/43.97 = 43.97/x
  3. Step 3: Cross multiply
    28.31x = 43.97 × 43.97
  4. Step 4: Simplify right side
    28.31x = 1,933.25
  5. Step 5: Solve for x
    x = 1,933.25/28.31
  6. Step 6: Final answer
    x = 68.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.