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Finding the Third Proportional to 222,059 and 338,615

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Solution

The third proportional to 222,059 and 338,615 is: 516,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,059 : 338,615 = 338,615 : x
  2. Step 2: Convert to fraction form
    222,059/338,615 = 338,615/x
  3. Step 3: Cross multiply
    222,059x = 338,615 × 338,615
  4. Step 4: Simplify right side
    222,059x = 114,660,118,225
  5. Step 5: Solve for x
    x = 114,660,118,225/222,059
  6. Step 6: Final answer
    x = 516,349.79

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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.