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Finding the Third Proportional to 422,938 and 622,724

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Solution

The third proportional to 422,938 and 622,724 is: 916,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,938 : 622,724 = 622,724 : x
  2. Step 2: Convert to fraction form
    422,938/622,724 = 622,724/x
  3. Step 3: Cross multiply
    422,938x = 622,724 × 622,724
  4. Step 4: Simplify right side
    422,938x = 387,785,180,176
  5. Step 5: Solve for x
    x = 387,785,180,176/422,938
  6. Step 6: Final answer
    x = 916,884.22

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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.