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Finding the Third Proportional to 253,904 and 394,414

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Solution

The third proportional to 253,904 and 394,414 is: 612,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,904 : 394,414 = 394,414 : x
  2. Step 2: Convert to fraction form
    253,904/394,414 = 394,414/x
  3. Step 3: Cross multiply
    253,904x = 394,414 × 394,414
  4. Step 4: Simplify right side
    253,904x = 155,562,403,396
  5. Step 5: Solve for x
    x = 155,562,403,396/253,904
  6. Step 6: Final answer
    x = 612,681.97

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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.