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Finding the Third Proportional to 222,938 and 485,238

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Solution

The third proportional to 222,938 and 485,238 is: 1,056,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,938 : 485,238 = 485,238 : x
  2. Step 2: Convert to fraction form
    222,938/485,238 = 485,238/x
  3. Step 3: Cross multiply
    222,938x = 485,238 × 485,238
  4. Step 4: Simplify right side
    222,938x = 235,455,916,644
  5. Step 5: Solve for x
    x = 235,455,916,644/222,938
  6. Step 6: Final answer
    x = 1,056,149.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.