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Finding the Third Proportional to 181,415 and 394,317

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Solution

The third proportional to 181,415 and 394,317 is: 857,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,415 : 394,317 = 394,317 : x
  2. Step 2: Convert to fraction form
    181,415/394,317 = 394,317/x
  3. Step 3: Cross multiply
    181,415x = 394,317 × 394,317
  4. Step 4: Simplify right side
    181,415x = 155,485,896,489
  5. Step 5: Solve for x
    x = 155,485,896,489/181,415
  6. Step 6: Final answer
    x = 857,072.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.