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Finding the Third Proportional to 206,066 and 434,644

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Solution

The third proportional to 206,066 and 434,644 is: 916,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,066 : 434,644 = 434,644 : x
  2. Step 2: Convert to fraction form
    206,066/434,644 = 434,644/x
  3. Step 3: Cross multiply
    206,066x = 434,644 × 434,644
  4. Step 4: Simplify right side
    206,066x = 188,915,406,736
  5. Step 5: Solve for x
    x = 188,915,406,736/206,066
  6. Step 6: Final answer
    x = 916,771.36

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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.