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Finding the Third Proportional to 279,845 and 443,837

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Solution

The third proportional to 279,845 and 443,837 is: 703,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,845 : 443,837 = 443,837 : x
  2. Step 2: Convert to fraction form
    279,845/443,837 = 443,837/x
  3. Step 3: Cross multiply
    279,845x = 443,837 × 443,837
  4. Step 4: Simplify right side
    279,845x = 196,991,282,569
  5. Step 5: Solve for x
    x = 196,991,282,569/279,845
  6. Step 6: Final answer
    x = 703,929.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.