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Finding the Third Proportional to 207,922 and 321,819

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Solution

The third proportional to 207,922 and 321,819 is: 498,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,922 : 321,819 = 321,819 : x
  2. Step 2: Convert to fraction form
    207,922/321,819 = 321,819/x
  3. Step 3: Cross multiply
    207,922x = 321,819 × 321,819
  4. Step 4: Simplify right side
    207,922x = 103,567,468,761
  5. Step 5: Solve for x
    x = 103,567,468,761/207,922
  6. Step 6: Final answer
    x = 498,107.31

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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.