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Finding the Third Proportional to 206,739.84 and 422,227.69

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Solution

The third proportional to 206,739.84 and 422,227.69 is: 862,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,739.84 : 422,227.69 = 422,227.69 : x
  2. Step 2: Convert to fraction form
    206,739.84/422,227.69 = 422,227.69/x
  3. Step 3: Cross multiply
    206,739.84x = 422,227.69 × 422,227.69
  4. Step 4: Simplify right side
    206,739.84x = 178,276,220,091.60
  5. Step 5: Solve for x
    x = 178,276,220,091.60/206,739.84
  6. Step 6: Final answer
    x = 862,321.54

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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.