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Finding the Third Proportional to 103,909 and 223,711

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Solution

The third proportional to 103,909 and 223,711 is: 481,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,909 : 223,711 = 223,711 : x
  2. Step 2: Convert to fraction form
    103,909/223,711 = 223,711/x
  3. Step 3: Cross multiply
    103,909x = 223,711 × 223,711
  4. Step 4: Simplify right side
    103,909x = 50,046,611,521
  5. Step 5: Solve for x
    x = 50,046,611,521/103,909
  6. Step 6: Final answer
    x = 481,638.85

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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.