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Finding the Third Proportional to 198,351 and 440,838

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Solution

The third proportional to 198,351 and 440,838 is: 979,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,351 : 440,838 = 440,838 : x
  2. Step 2: Convert to fraction form
    198,351/440,838 = 440,838/x
  3. Step 3: Cross multiply
    198,351x = 440,838 × 440,838
  4. Step 4: Simplify right side
    198,351x = 194,338,142,244
  5. Step 5: Solve for x
    x = 194,338,142,244/198,351
  6. Step 6: Final answer
    x = 979,768.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.