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Finding the Third Proportional to 21.78 and 43.97

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Solution

The third proportional to 21.78 and 43.97 is: 88.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.78 : 43.97 = 43.97 : x
  2. Step 2: Convert to fraction form
    21.78/43.97 = 43.97/x
  3. Step 3: Cross multiply
    21.78x = 43.97 × 43.97
  4. Step 4: Simplify right side
    21.78x = 1,933.25
  5. Step 5: Solve for x
    x = 1,933.25/21.78
  6. Step 6: Final answer
    x = 88.76

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.