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Finding the Third Proportional to 55.73 and 122.11

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Solution

The third proportional to 55.73 and 122.11 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.73 : 122.11 = 122.11 : x
  2. Step 2: Convert to fraction form
    55.73/122.11 = 122.11/x
  3. Step 3: Cross multiply
    55.73x = 122.11 × 122.11
  4. Step 4: Simplify right side
    55.73x = 14,910.70
  5. Step 5: Solve for x
    x = 14,910.70/55.73
  6. Step 6: Final answer
    x = 267.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.