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Finding the Third Proportional to 206,821 and 455,544

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Solution

The third proportional to 206,821 and 455,544 is: 1,003,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,821 : 455,544 = 455,544 : x
  2. Step 2: Convert to fraction form
    206,821/455,544 = 455,544/x
  3. Step 3: Cross multiply
    206,821x = 455,544 × 455,544
  4. Step 4: Simplify right side
    206,821x = 207,520,335,936
  5. Step 5: Solve for x
    x = 207,520,335,936/206,821
  6. Step 6: Final answer
    x = 1,003,381.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.