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Finding the Third Proportional to 206,086 and 434,313

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Solution

The third proportional to 206,086 and 434,313 is: 915,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,086 : 434,313 = 434,313 : x
  2. Step 2: Convert to fraction form
    206,086/434,313 = 434,313/x
  3. Step 3: Cross multiply
    206,086x = 434,313 × 434,313
  4. Step 4: Simplify right side
    206,086x = 188,627,781,969
  5. Step 5: Solve for x
    x = 188,627,781,969/206,086
  6. Step 6: Final answer
    x = 915,286.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.