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Finding the Third Proportional to 422,940 and 622,728

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Solution

The third proportional to 422,940 and 622,728 is: 916,891.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,940 : 622,728 = 622,728 : x
  2. Step 2: Convert to fraction form
    422,940/622,728 = 622,728/x
  3. Step 3: Cross multiply
    422,940x = 622,728 × 622,728
  4. Step 4: Simplify right side
    422,940x = 387,790,161,984
  5. Step 5: Solve for x
    x = 387,790,161,984/422,940
  6. Step 6: Final answer
    x = 916,891.67

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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.