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Finding the Third Proportional to 279,309 and 418,869

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Solution

The third proportional to 279,309 and 418,869 is: 628,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,309 : 418,869 = 418,869 : x
  2. Step 2: Convert to fraction form
    279,309/418,869 = 418,869/x
  3. Step 3: Cross multiply
    279,309x = 418,869 × 418,869
  4. Step 4: Simplify right side
    279,309x = 175,451,239,161
  5. Step 5: Solve for x
    x = 175,451,239,161/279,309
  6. Step 6: Final answer
    x = 628,161.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.