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Finding the Third Proportional to 222,032 and 338,610

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Solution

The third proportional to 222,032 and 338,610 is: 516,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,032 : 338,610 = 338,610 : x
  2. Step 2: Convert to fraction form
    222,032/338,610 = 338,610/x
  3. Step 3: Cross multiply
    222,032x = 338,610 × 338,610
  4. Step 4: Simplify right side
    222,032x = 114,656,732,100
  5. Step 5: Solve for x
    x = 114,656,732,100/222,032
  6. Step 6: Final answer
    x = 516,397.33

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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.