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Finding the Third Proportional to 55.71 and 122.09

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Solution

The third proportional to 55.71 and 122.09 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.71 : 122.09 = 122.09 : x
  2. Step 2: Convert to fraction form
    55.71/122.09 = 122.09/x
  3. Step 3: Cross multiply
    55.71x = 122.09 × 122.09
  4. Step 4: Simplify right side
    55.71x = 14,906.76
  5. Step 5: Solve for x
    x = 14,906.76/55.71
  6. Step 6: Final answer
    x = 267.59

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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.