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Finding the Third Proportional to 207,969 and 321,884

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Solution

The third proportional to 207,969 and 321,884 is: 498,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,969 : 321,884 = 321,884 : x
  2. Step 2: Convert to fraction form
    207,969/321,884 = 321,884/x
  3. Step 3: Cross multiply
    207,969x = 321,884 × 321,884
  4. Step 4: Simplify right side
    207,969x = 103,609,309,456
  5. Step 5: Solve for x
    x = 103,609,309,456/207,969
  6. Step 6: Final answer
    x = 498,195.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.