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Finding the Third Proportional to 415,440 and 622,456

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Solution

The third proportional to 415,440 and 622,456 is: 932,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,440 : 622,456 = 622,456 : x
  2. Step 2: Convert to fraction form
    415,440/622,456 = 622,456/x
  3. Step 3: Cross multiply
    415,440x = 622,456 × 622,456
  4. Step 4: Simplify right side
    415,440x = 387,451,471,936
  5. Step 5: Solve for x
    x = 387,451,471,936/415,440
  6. Step 6: Final answer
    x = 932,629.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.