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Finding the Third Proportional to 195,921 and 400,144

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Solution

The third proportional to 195,921 and 400,144 is: 817,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,921 : 400,144 = 400,144 : x
  2. Step 2: Convert to fraction form
    195,921/400,144 = 400,144/x
  3. Step 3: Cross multiply
    195,921x = 400,144 × 400,144
  4. Step 4: Simplify right side
    195,921x = 160,115,220,736
  5. Step 5: Solve for x
    x = 160,115,220,736/195,921
  6. Step 6: Final answer
    x = 817,243.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.