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Finding the Third Proportional to 39,122 and 55,741

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Solution

The third proportional to 39,122 and 55,741 is: 79,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,122 : 55,741 = 55,741 : x
  2. Step 2: Convert to fraction form
    39,122/55,741 = 55,741/x
  3. Step 3: Cross multiply
    39,122x = 55,741 × 55,741
  4. Step 4: Simplify right side
    39,122x = 3,107,059,081
  5. Step 5: Solve for x
    x = 3,107,059,081/39,122
  6. Step 6: Final answer
    x = 79,419.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.