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Finding the Third Proportional to 279,504 and 395,104

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Solution

The third proportional to 279,504 and 395,104 is: 558,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,504 : 395,104 = 395,104 : x
  2. Step 2: Convert to fraction form
    279,504/395,104 = 395,104/x
  3. Step 3: Cross multiply
    279,504x = 395,104 × 395,104
  4. Step 4: Simplify right side
    279,504x = 156,107,170,816
  5. Step 5: Solve for x
    x = 156,107,170,816/279,504
  6. Step 6: Final answer
    x = 558,514.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.