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Finding the Third Proportional to 111,907 and 218,103

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Solution

The third proportional to 111,907 and 218,103 is: 425,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,907 : 218,103 = 218,103 : x
  2. Step 2: Convert to fraction form
    111,907/218,103 = 218,103/x
  3. Step 3: Cross multiply
    111,907x = 218,103 × 218,103
  4. Step 4: Simplify right side
    111,907x = 47,568,918,609
  5. Step 5: Solve for x
    x = 47,568,918,609/111,907
  6. Step 6: Final answer
    x = 425,075.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.