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Finding the Third Proportional to 81,427 and 179,418

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Solution

The third proportional to 81,427 and 179,418 is: 395,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,427 : 179,418 = 179,418 : x
  2. Step 2: Convert to fraction form
    81,427/179,418 = 179,418/x
  3. Step 3: Cross multiply
    81,427x = 179,418 × 179,418
  4. Step 4: Simplify right side
    81,427x = 32,190,818,724
  5. Step 5: Solve for x
    x = 32,190,818,724/81,427
  6. Step 6: Final answer
    x = 395,333.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.