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Finding the Third Proportional to 155,907 and 339,147

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Solution

The third proportional to 155,907 and 339,147 is: 737,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,907 : 339,147 = 339,147 : x
  2. Step 2: Convert to fraction form
    155,907/339,147 = 339,147/x
  3. Step 3: Cross multiply
    155,907x = 339,147 × 339,147
  4. Step 4: Simplify right side
    155,907x = 115,020,687,609
  5. Step 5: Solve for x
    x = 115,020,687,609/155,907
  6. Step 6: Final answer
    x = 737,751.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.