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Finding the Third Proportional to 43.78 and 66.21

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Solution

The third proportional to 43.78 and 66.21 is: 100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.78 : 66.21 = 66.21 : x
  2. Step 2: Convert to fraction form
    43.78/66.21 = 66.21/x
  3. Step 3: Cross multiply
    43.78x = 66.21 × 66.21
  4. Step 4: Simplify right side
    43.78x = 4,383.50
  5. Step 5: Solve for x
    x = 4,383.50/43.78
  6. Step 6: Final answer
    x = 100.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.