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Finding the Third Proportional to 55.94 and 122.92

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Solution

The third proportional to 55.94 and 122.92 is: 270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.94 : 122.92 = 122.92 : x
  2. Step 2: Convert to fraction form
    55.94/122.92 = 122.92/x
  3. Step 3: Cross multiply
    55.94x = 122.92 × 122.92
  4. Step 4: Simplify right side
    55.94x = 15,110.27
  5. Step 5: Solve for x
    x = 15,110.27/55.94
  6. Step 6: Final answer
    x = 270.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.