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Finding the Third Proportional to 422,944 and 622,732

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Solution

The third proportional to 422,944 and 622,732 is: 916,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,944 : 622,732 = 622,732 : x
  2. Step 2: Convert to fraction form
    422,944/622,732 = 622,732/x
  3. Step 3: Cross multiply
    422,944x = 622,732 × 622,732
  4. Step 4: Simplify right side
    422,944x = 387,795,143,824
  5. Step 5: Solve for x
    x = 387,795,143,824/422,944
  6. Step 6: Final answer
    x = 916,894.78

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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.