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Finding the Third Proportional to 198,941 and 407,075

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Solution

The third proportional to 198,941 and 407,075 is: 832,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,941 : 407,075 = 407,075 : x
  2. Step 2: Convert to fraction form
    198,941/407,075 = 407,075/x
  3. Step 3: Cross multiply
    198,941x = 407,075 × 407,075
  4. Step 4: Simplify right side
    198,941x = 165,710,055,625
  5. Step 5: Solve for x
    x = 165,710,055,625/198,941
  6. Step 6: Final answer
    x = 832,960.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.