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Finding the Third Proportional to 207,821 and 323,895

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Solution

The third proportional to 207,821 and 323,895 is: 504,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,821 : 323,895 = 323,895 : x
  2. Step 2: Convert to fraction form
    207,821/323,895 = 323,895/x
  3. Step 3: Cross multiply
    207,821x = 323,895 × 323,895
  4. Step 4: Simplify right side
    207,821x = 104,907,971,025
  5. Step 5: Solve for x
    x = 104,907,971,025/207,821
  6. Step 6: Final answer
    x = 504,799.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.