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Finding the Third Proportional to 179,907 and 387,839

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Solution

The third proportional to 179,907 and 387,839 is: 836,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,907 : 387,839 = 387,839 : x
  2. Step 2: Convert to fraction form
    179,907/387,839 = 387,839/x
  3. Step 3: Cross multiply
    179,907x = 387,839 × 387,839
  4. Step 4: Simplify right side
    179,907x = 150,419,089,921
  5. Step 5: Solve for x
    x = 150,419,089,921/179,907
  6. Step 6: Final answer
    x = 836,093.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.