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Finding the Third Proportional to 181,494 and 394,479

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Solution

The third proportional to 181,494 and 394,479 is: 857,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,494 : 394,479 = 394,479 : x
  2. Step 2: Convert to fraction form
    181,494/394,479 = 394,479/x
  3. Step 3: Cross multiply
    181,494x = 394,479 × 394,479
  4. Step 4: Simplify right side
    181,494x = 155,613,681,441
  5. Step 5: Solve for x
    x = 155,613,681,441/181,494
  6. Step 6: Final answer
    x = 857,404.00

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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.