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Finding the Third Proportional to 181,438 and 384,836

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Solution

The third proportional to 181,438 and 384,836 is: 816,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,438 : 384,836 = 384,836 : x
  2. Step 2: Convert to fraction form
    181,438/384,836 = 384,836/x
  3. Step 3: Cross multiply
    181,438x = 384,836 × 384,836
  4. Step 4: Simplify right side
    181,438x = 148,098,746,896
  5. Step 5: Solve for x
    x = 148,098,746,896/181,438
  6. Step 6: Final answer
    x = 816,249.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.