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Finding the Third Proportional to 274,200 and 414,756

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Solution

The third proportional to 274,200 and 414,756 is: 627,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,200 : 414,756 = 414,756 : x
  2. Step 2: Convert to fraction form
    274,200/414,756 = 414,756/x
  3. Step 3: Cross multiply
    274,200x = 414,756 × 414,756
  4. Step 4: Simplify right side
    274,200x = 172,022,539,536
  5. Step 5: Solve for x
    x = 172,022,539,536/274,200
  6. Step 6: Final answer
    x = 627,361.56

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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.