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Finding the Third Proportional to 181,643 and 395,982

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Solution

The third proportional to 181,643 and 395,982 is: 863,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,643 : 395,982 = 395,982 : x
  2. Step 2: Convert to fraction form
    181,643/395,982 = 395,982/x
  3. Step 3: Cross multiply
    181,643x = 395,982 × 395,982
  4. Step 4: Simplify right side
    181,643x = 156,801,744,324
  5. Step 5: Solve for x
    x = 156,801,744,324/181,643
  6. Step 6: Final answer
    x = 863,241.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.