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Finding the Third Proportional to 200,422 and 280,219

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Solution

The third proportional to 200,422 and 280,219 is: 391,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,422 : 280,219 = 280,219 : x
  2. Step 2: Convert to fraction form
    200,422/280,219 = 280,219/x
  3. Step 3: Cross multiply
    200,422x = 280,219 × 280,219
  4. Step 4: Simplify right side
    200,422x = 78,522,687,961
  5. Step 5: Solve for x
    x = 78,522,687,961/200,422
  6. Step 6: Final answer
    x = 391,786.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.