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Finding the Third Proportional to 103,684 and 279,305

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Solution

The third proportional to 103,684 and 279,305 is: 752,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 279,305 = 279,305 : x
  2. Step 2: Convert to fraction form
    103,684/279,305 = 279,305/x
  3. Step 3: Cross multiply
    103,684x = 279,305 × 279,305
  4. Step 4: Simplify right side
    103,684x = 78,011,283,025
  5. Step 5: Solve for x
    x = 78,011,283,025/103,684
  6. Step 6: Final answer
    x = 752,394.61

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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.