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Finding the Third Proportional to 198,040 and 412,400

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Solution

The third proportional to 198,040 and 412,400 is: 858,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,040 : 412,400 = 412,400 : x
  2. Step 2: Convert to fraction form
    198,040/412,400 = 412,400/x
  3. Step 3: Cross multiply
    198,040x = 412,400 × 412,400
  4. Step 4: Simplify right side
    198,040x = 170,073,760,000
  5. Step 5: Solve for x
    x = 170,073,760,000/198,040
  6. Step 6: Final answer
    x = 858,784.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.