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Finding the Third Proportional to 129,405 and 198,204

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Solution

The third proportional to 129,405 and 198,204 is: 303,580.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,405 : 198,204 = 198,204 : x
  2. Step 2: Convert to fraction form
    129,405/198,204 = 198,204/x
  3. Step 3: Cross multiply
    129,405x = 198,204 × 198,204
  4. Step 4: Simplify right side
    129,405x = 39,284,825,616
  5. Step 5: Solve for x
    x = 39,284,825,616/129,405
  6. Step 6: Final answer
    x = 303,580.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.