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Finding the Third Proportional to 103,669 and 279,267

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Solution

The third proportional to 103,669 and 279,267 is: 752,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,669 : 279,267 = 279,267 : x
  2. Step 2: Convert to fraction form
    103,669/279,267 = 279,267/x
  3. Step 3: Cross multiply
    103,669x = 279,267 × 279,267
  4. Step 4: Simplify right side
    103,669x = 77,990,057,289
  5. Step 5: Solve for x
    x = 77,990,057,289/103,669
  6. Step 6: Final answer
    x = 752,298.73

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.