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Finding the Third Proportional to 103,921 and 223,286

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Solution

The third proportional to 103,921 and 223,286 is: 479,755.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,921 : 223,286 = 223,286 : x
  2. Step 2: Convert to fraction form
    103,921/223,286 = 223,286/x
  3. Step 3: Cross multiply
    103,921x = 223,286 × 223,286
  4. Step 4: Simplify right side
    103,921x = 49,856,637,796
  5. Step 5: Solve for x
    x = 49,856,637,796/103,921
  6. Step 6: Final answer
    x = 479,755.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.