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Finding the Third Proportional to 154,839 and 339,189

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Solution

The third proportional to 154,839 and 339,189 is: 743,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,839 : 339,189 = 339,189 : x
  2. Step 2: Convert to fraction form
    154,839/339,189 = 339,189/x
  3. Step 3: Cross multiply
    154,839x = 339,189 × 339,189
  4. Step 4: Simplify right side
    154,839x = 115,049,177,721
  5. Step 5: Solve for x
    x = 115,049,177,721/154,839
  6. Step 6: Final answer
    x = 743,024.55

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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.