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Finding the Third Proportional to 206,078 and 434,296

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Solution

The third proportional to 206,078 and 434,296 is: 915,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,078 : 434,296 = 434,296 : x
  2. Step 2: Convert to fraction form
    206,078/434,296 = 434,296/x
  3. Step 3: Cross multiply
    206,078x = 434,296 × 434,296
  4. Step 4: Simplify right side
    206,078x = 188,613,015,616
  5. Step 5: Solve for x
    x = 188,613,015,616/206,078
  6. Step 6: Final answer
    x = 915,250.61

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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.