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Finding the Third Proportional to 80,039 and 171,741

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Solution

The third proportional to 80,039 and 171,741 is: 368,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,039 : 171,741 = 171,741 : x
  2. Step 2: Convert to fraction form
    80,039/171,741 = 171,741/x
  3. Step 3: Cross multiply
    80,039x = 171,741 × 171,741
  4. Step 4: Simplify right side
    80,039x = 29,494,971,081
  5. Step 5: Solve for x
    x = 29,494,971,081/80,039
  6. Step 6: Final answer
    x = 368,507.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.