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Finding the Third Proportional to 84,831 and 131,418

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Solution

The third proportional to 84,831 and 131,418 is: 203,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,831 : 131,418 = 131,418 : x
  2. Step 2: Convert to fraction form
    84,831/131,418 = 131,418/x
  3. Step 3: Cross multiply
    84,831x = 131,418 × 131,418
  4. Step 4: Simplify right side
    84,831x = 17,270,690,724
  5. Step 5: Solve for x
    x = 17,270,690,724/84,831
  6. Step 6: Final answer
    x = 203,589.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.