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Finding the Third Proportional to 83,859 and 182,481

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Solution

The third proportional to 83,859 and 182,481 is: 397,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,859 : 182,481 = 182,481 : x
  2. Step 2: Convert to fraction form
    83,859/182,481 = 182,481/x
  3. Step 3: Cross multiply
    83,859x = 182,481 × 182,481
  4. Step 4: Simplify right side
    83,859x = 33,299,315,361
  5. Step 5: Solve for x
    x = 33,299,315,361/83,859
  6. Step 6: Final answer
    x = 397,086.96

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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.