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Finding the Third Proportional to 200,286 and 406,098

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Solution

The third proportional to 200,286 and 406,098 is: 823,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,286 : 406,098 = 406,098 : x
  2. Step 2: Convert to fraction form
    200,286/406,098 = 406,098/x
  3. Step 3: Cross multiply
    200,286x = 406,098 × 406,098
  4. Step 4: Simplify right side
    200,286x = 164,915,585,604
  5. Step 5: Solve for x
    x = 164,915,585,604/200,286
  6. Step 6: Final answer
    x = 823,400.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.