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Finding the Third Proportional to 222,135 and 433,197

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Solution

The third proportional to 222,135 and 433,197 is: 844,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,135 : 433,197 = 433,197 : x
  2. Step 2: Convert to fraction form
    222,135/433,197 = 433,197/x
  3. Step 3: Cross multiply
    222,135x = 433,197 × 433,197
  4. Step 4: Simplify right side
    222,135x = 187,659,640,809
  5. Step 5: Solve for x
    x = 187,659,640,809/222,135
  6. Step 6: Final answer
    x = 844,799.97

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.