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Finding the Third Proportional to 87,683 and 191,767

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Solution

The third proportional to 87,683 and 191,767 is: 419,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,683 : 191,767 = 191,767 : x
  2. Step 2: Convert to fraction form
    87,683/191,767 = 191,767/x
  3. Step 3: Cross multiply
    87,683x = 191,767 × 191,767
  4. Step 4: Simplify right side
    87,683x = 36,774,582,289
  5. Step 5: Solve for x
    x = 36,774,582,289/87,683
  6. Step 6: Final answer
    x = 419,403.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.