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Finding the Third Proportional to 422,161 and 622,079

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Solution

The third proportional to 422,161 and 622,079 is: 916,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,161 : 622,079 = 622,079 : x
  2. Step 2: Convert to fraction form
    422,161/622,079 = 622,079/x
  3. Step 3: Cross multiply
    422,161x = 622,079 × 622,079
  4. Step 4: Simplify right side
    422,161x = 386,982,282,241
  5. Step 5: Solve for x
    x = 386,982,282,241/422,161
  6. Step 6: Final answer
    x = 916,669.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.