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Finding the Third Proportional to 274,485 and 396,414

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Solution

The third proportional to 274,485 and 396,414 is: 572,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,485 : 396,414 = 396,414 : x
  2. Step 2: Convert to fraction form
    274,485/396,414 = 396,414/x
  3. Step 3: Cross multiply
    274,485x = 396,414 × 396,414
  4. Step 4: Simplify right side
    274,485x = 157,144,059,396
  5. Step 5: Solve for x
    x = 157,144,059,396/274,485
  6. Step 6: Final answer
    x = 572,505.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.