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Finding the Third Proportional to 200,122 and 281,463

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Solution

The third proportional to 200,122 and 281,463 is: 395,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,122 : 281,463 = 281,463 : x
  2. Step 2: Convert to fraction form
    200,122/281,463 = 281,463/x
  3. Step 3: Cross multiply
    200,122x = 281,463 × 281,463
  4. Step 4: Simplify right side
    200,122x = 79,221,420,369
  5. Step 5: Solve for x
    x = 79,221,420,369/200,122
  6. Step 6: Final answer
    x = 395,865.62

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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.