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Finding the Third Proportional to 422,936 and 622,722

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Solution

The third proportional to 422,936 and 622,722 is: 916,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,936 : 622,722 = 622,722 : x
  2. Step 2: Convert to fraction form
    422,936/622,722 = 622,722/x
  3. Step 3: Cross multiply
    422,936x = 622,722 × 622,722
  4. Step 4: Simplify right side
    422,936x = 387,782,689,284
  5. Step 5: Solve for x
    x = 387,782,689,284/422,936
  6. Step 6: Final answer
    x = 916,882.67

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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.