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Finding the Third Proportional to 199,722 and 280,922

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Solution

The third proportional to 199,722 and 280,922 is: 395,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,722 : 280,922 = 280,922 : x
  2. Step 2: Convert to fraction form
    199,722/280,922 = 280,922/x
  3. Step 3: Cross multiply
    199,722x = 280,922 × 280,922
  4. Step 4: Simplify right side
    199,722x = 78,917,170,084
  5. Step 5: Solve for x
    x = 78,917,170,084/199,722
  6. Step 6: Final answer
    x = 395,135.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.