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Finding the Third Proportional to 422,167 and 622,087

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Solution

The third proportional to 422,167 and 622,087 is: 916,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,167 : 622,087 = 622,087 : x
  2. Step 2: Convert to fraction form
    422,167/622,087 = 622,087/x
  3. Step 3: Cross multiply
    422,167x = 622,087 × 622,087
  4. Step 4: Simplify right side
    422,167x = 386,992,235,569
  5. Step 5: Solve for x
    x = 386,992,235,569/422,167
  6. Step 6: Final answer
    x = 916,680.45

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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.