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Finding the Third Proportional to 422,948 and 622,738

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Solution

The third proportional to 422,948 and 622,738 is: 916,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,948 : 622,738 = 622,738 : x
  2. Step 2: Convert to fraction form
    422,948/622,738 = 622,738/x
  3. Step 3: Cross multiply
    422,948x = 622,738 × 622,738
  4. Step 4: Simplify right side
    422,948x = 387,802,616,644
  5. Step 5: Solve for x
    x = 387,802,616,644/422,948
  6. Step 6: Final answer
    x = 916,903.77

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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.