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Finding the Third Proportional to 181,515 and 394,521

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Solution

The third proportional to 181,515 and 394,521 is: 857,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,515 : 394,521 = 394,521 : x
  2. Step 2: Convert to fraction form
    181,515/394,521 = 394,521/x
  3. Step 3: Cross multiply
    181,515x = 394,521 × 394,521
  4. Step 4: Simplify right side
    181,515x = 155,646,819,441
  5. Step 5: Solve for x
    x = 155,646,819,441/181,515
  6. Step 6: Final answer
    x = 857,487.37

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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.