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Finding the Third Proportional to 222,050 and 338,601

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Solution

The third proportional to 222,050 and 338,601 is: 516,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,050 : 338,601 = 338,601 : x
  2. Step 2: Convert to fraction form
    222,050/338,601 = 338,601/x
  3. Step 3: Cross multiply
    222,050x = 338,601 × 338,601
  4. Step 4: Simplify right side
    222,050x = 114,650,637,201
  5. Step 5: Solve for x
    x = 114,650,637,201/222,050
  6. Step 6: Final answer
    x = 516,328.02

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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.