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Finding the Third Proportional to 103,921 and 223,869

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Solution

The third proportional to 103,921 and 223,869 is: 482,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,921 : 223,869 = 223,869 : x
  2. Step 2: Convert to fraction form
    103,921/223,869 = 223,869/x
  3. Step 3: Cross multiply
    103,921x = 223,869 × 223,869
  4. Step 4: Simplify right side
    103,921x = 50,117,329,161
  5. Step 5: Solve for x
    x = 50,117,329,161/103,921
  6. Step 6: Final answer
    x = 482,263.73

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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.