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Finding the Third Proportional to 181,642 and 395,980

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Solution

The third proportional to 181,642 and 395,980 is: 863,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,642 : 395,980 = 395,980 : x
  2. Step 2: Convert to fraction form
    181,642/395,980 = 395,980/x
  3. Step 3: Cross multiply
    181,642x = 395,980 × 395,980
  4. Step 4: Simplify right side
    181,642x = 156,800,160,400
  5. Step 5: Solve for x
    x = 156,800,160,400/181,642
  6. Step 6: Final answer
    x = 863,237.36

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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.