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Finding the Third Proportional to 181,107 and 395,871

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Solution

The third proportional to 181,107 and 395,871 is: 865,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,107 : 395,871 = 395,871 : x
  2. Step 2: Convert to fraction form
    181,107/395,871 = 395,871/x
  3. Step 3: Cross multiply
    181,107x = 395,871 × 395,871
  4. Step 4: Simplify right side
    181,107x = 156,713,848,641
  5. Step 5: Solve for x
    x = 156,713,848,641/181,107
  6. Step 6: Final answer
    x = 865,310.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.