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Finding the Third Proportional to 339,168 and 669,800

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Solution

The third proportional to 339,168 and 669,800 is: 1,322,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,168 : 669,800 = 669,800 : x
  2. Step 2: Convert to fraction form
    339,168/669,800 = 669,800/x
  3. Step 3: Cross multiply
    339,168x = 669,800 × 669,800
  4. Step 4: Simplify right side
    339,168x = 448,632,040,000
  5. Step 5: Solve for x
    x = 448,632,040,000/339,168
  6. Step 6: Final answer
    x = 1,322,742.83

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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.