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Finding the Third Proportional to 87,981 and 191,843

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Solution

The third proportional to 87,981 and 191,843 is: 418,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,981 : 191,843 = 191,843 : x
  2. Step 2: Convert to fraction form
    87,981/191,843 = 191,843/x
  3. Step 3: Cross multiply
    87,981x = 191,843 × 191,843
  4. Step 4: Simplify right side
    87,981x = 36,803,736,649
  5. Step 5: Solve for x
    x = 36,803,736,649/87,981
  6. Step 6: Final answer
    x = 418,314.60

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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.