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Finding the Third Proportional to 338,793 and 669,081

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Solution

The third proportional to 338,793 and 669,081 is: 1,321,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,793 : 669,081 = 669,081 : x
  2. Step 2: Convert to fraction form
    338,793/669,081 = 669,081/x
  3. Step 3: Cross multiply
    338,793x = 669,081 × 669,081
  4. Step 4: Simplify right side
    338,793x = 447,669,384,561
  5. Step 5: Solve for x
    x = 447,669,384,561/338,793
  6. Step 6: Final answer
    x = 1,321,365.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.