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Finding the Third Proportional to 221,171 and 333,589

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Solution

The third proportional to 221,171 and 333,589 is: 503,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,171 : 333,589 = 333,589 : x
  2. Step 2: Convert to fraction form
    221,171/333,589 = 333,589/x
  3. Step 3: Cross multiply
    221,171x = 333,589 × 333,589
  4. Step 4: Simplify right side
    221,171x = 111,281,620,921
  5. Step 5: Solve for x
    x = 111,281,620,921/221,171
  6. Step 6: Final answer
    x = 503,147.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.