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Finding the Third Proportional to 203,895 and 422,127

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Solution

The third proportional to 203,895 and 422,127 is: 873,936.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,895 : 422,127 = 422,127 : x
  2. Step 2: Convert to fraction form
    203,895/422,127 = 422,127/x
  3. Step 3: Cross multiply
    203,895x = 422,127 × 422,127
  4. Step 4: Simplify right side
    203,895x = 178,191,204,129
  5. Step 5: Solve for x
    x = 178,191,204,129/203,895
  6. Step 6: Final answer
    x = 873,936.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.