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Finding the Third Proportional to 416,112 and 627,912

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Solution

The third proportional to 416,112 and 627,912 is: 947,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,112 : 627,912 = 627,912 : x
  2. Step 2: Convert to fraction form
    416,112/627,912 = 627,912/x
  3. Step 3: Cross multiply
    416,112x = 627,912 × 627,912
  4. Step 4: Simplify right side
    416,112x = 394,273,479,744
  5. Step 5: Solve for x
    x = 394,273,479,744/416,112
  6. Step 6: Final answer
    x = 947,517.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.