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Finding the Third Proportional to 422,910 and 622,683

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Solution

The third proportional to 422,910 and 622,683 is: 916,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,910 : 622,683 = 622,683 : x
  2. Step 2: Convert to fraction form
    422,910/622,683 = 622,683/x
  3. Step 3: Cross multiply
    422,910x = 622,683 × 622,683
  4. Step 4: Simplify right side
    422,910x = 387,734,118,489
  5. Step 5: Solve for x
    x = 387,734,118,489/422,910
  6. Step 6: Final answer
    x = 916,824.19

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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.