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Finding the Third Proportional to 209,059 and 318,503

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Solution

The third proportional to 209,059 and 318,503 is: 485,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,059 : 318,503 = 318,503 : x
  2. Step 2: Convert to fraction form
    209,059/318,503 = 318,503/x
  3. Step 3: Cross multiply
    209,059x = 318,503 × 318,503
  4. Step 4: Simplify right side
    209,059x = 101,444,161,009
  5. Step 5: Solve for x
    x = 101,444,161,009/209,059
  6. Step 6: Final answer
    x = 485,241.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.