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Finding the Third Proportional to 181,162 and 393,489

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Solution

The third proportional to 181,162 and 393,489 is: 854,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,162 : 393,489 = 393,489 : x
  2. Step 2: Convert to fraction form
    181,162/393,489 = 393,489/x
  3. Step 3: Cross multiply
    181,162x = 393,489 × 393,489
  4. Step 4: Simplify right side
    181,162x = 154,833,593,121
  5. Step 5: Solve for x
    x = 154,833,593,121/181,162
  6. Step 6: Final answer
    x = 854,669.26

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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.