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Finding the Third Proportional to 200,010 and 281,339

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Solution

The third proportional to 200,010 and 281,339 is: 395,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,010 : 281,339 = 281,339 : x
  2. Step 2: Convert to fraction form
    200,010/281,339 = 281,339/x
  3. Step 3: Cross multiply
    200,010x = 281,339 × 281,339
  4. Step 4: Simplify right side
    200,010x = 79,151,632,921
  5. Step 5: Solve for x
    x = 79,151,632,921/200,010
  6. Step 6: Final answer
    x = 395,738.38

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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.