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Finding the Third Proportional to 50.78 and 110.11

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Solution

The third proportional to 50.78 and 110.11 is: 238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.78 : 110.11 = 110.11 : x
  2. Step 2: Convert to fraction form
    50.78/110.11 = 110.11/x
  3. Step 3: Cross multiply
    50.78x = 110.11 × 110.11
  4. Step 4: Simplify right side
    50.78x = 12,124.07
  5. Step 5: Solve for x
    x = 12,124.07/50.78
  6. Step 6: Final answer
    x = 238.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.