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Finding the Third Proportional to 80,424 and 171,891

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Solution

The third proportional to 80,424 and 171,891 is: 367,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,424 : 171,891 = 171,891 : x
  2. Step 2: Convert to fraction form
    80,424/171,891 = 171,891/x
  3. Step 3: Cross multiply
    80,424x = 171,891 × 171,891
  4. Step 4: Simplify right side
    80,424x = 29,546,515,881
  5. Step 5: Solve for x
    x = 29,546,515,881/80,424
  6. Step 6: Final answer
    x = 367,384.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.