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Finding the Third Proportional to 103,661 and 279,247

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Solution

The third proportional to 103,661 and 279,247 is: 752,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,661 : 279,247 = 279,247 : x
  2. Step 2: Convert to fraction form
    103,661/279,247 = 279,247/x
  3. Step 3: Cross multiply
    103,661x = 279,247 × 279,247
  4. Step 4: Simplify right side
    103,661x = 77,978,887,009
  5. Step 5: Solve for x
    x = 77,978,887,009/103,661
  6. Step 6: Final answer
    x = 752,249.03

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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.