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Finding the Third Proportional to 253,917 and 394,434

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Solution

The third proportional to 253,917 and 394,434 is: 612,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,917 : 394,434 = 394,434 : x
  2. Step 2: Convert to fraction form
    253,917/394,434 = 394,434/x
  3. Step 3: Cross multiply
    253,917x = 394,434 × 394,434
  4. Step 4: Simplify right side
    253,917x = 155,578,180,356
  5. Step 5: Solve for x
    x = 155,578,180,356/253,917
  6. Step 6: Final answer
    x = 612,712.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.