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Finding the Third Proportional to 222,038 and 338,619

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Solution

The third proportional to 222,038 and 338,619 is: 516,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,038 : 338,619 = 338,619 : x
  2. Step 2: Convert to fraction form
    222,038/338,619 = 338,619/x
  3. Step 3: Cross multiply
    222,038x = 338,619 × 338,619
  4. Step 4: Simplify right side
    222,038x = 114,662,827,161
  5. Step 5: Solve for x
    x = 114,662,827,161/222,038
  6. Step 6: Final answer
    x = 516,410.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.