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Finding the Third Proportional to 101,821 and 218,234

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Solution

The third proportional to 101,821 and 218,234 is: 467,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,821 : 218,234 = 218,234 : x
  2. Step 2: Convert to fraction form
    101,821/218,234 = 218,234/x
  3. Step 3: Cross multiply
    101,821x = 218,234 × 218,234
  4. Step 4: Simplify right side
    101,821x = 47,626,078,756
  5. Step 5: Solve for x
    x = 47,626,078,756/101,821
  6. Step 6: Final answer
    x = 467,743.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.