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Finding the Third Proportional to 205,754.50 and 421,042.75

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Solution

The third proportional to 205,754.50 and 421,042.75 is: 861,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,754.50 : 421,042.75 = 421,042.75 : x
  2. Step 2: Convert to fraction form
    205,754.50/421,042.75 = 421,042.75/x
  3. Step 3: Cross multiply
    205,754.50x = 421,042.75 × 421,042.75
  4. Step 4: Simplify right side
    205,754.50x = 177,276,997,327.56
  5. Step 5: Solve for x
    x = 177,276,997,327.56/205,754.50
  6. Step 6: Final answer
    x = 861,594.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.