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Finding the Third Proportional to 40.78 and 109.27

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Solution

The third proportional to 40.78 and 109.27 is: 292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.78 : 109.27 = 109.27 : x
  2. Step 2: Convert to fraction form
    40.78/109.27 = 109.27/x
  3. Step 3: Cross multiply
    40.78x = 109.27 × 109.27
  4. Step 4: Simplify right side
    40.78x = 11,938.98
  5. Step 5: Solve for x
    x = 11,938.98/40.78
  6. Step 6: Final answer
    x = 292.76

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These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.