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Finding the Third Proportional to 87,781.50 and 186,021

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Solution

The third proportional to 87,781.50 and 186,021 is: 394,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,781.50 : 186,021 = 186,021 : x
  2. Step 2: Convert to fraction form
    87,781.50/186,021 = 186,021/x
  3. Step 3: Cross multiply
    87,781.50x = 186,021 × 186,021
  4. Step 4: Simplify right side
    87,781.50x = 34,603,812,441
  5. Step 5: Solve for x
    x = 34,603,812,441/87,781.50
  6. Step 6: Final answer
    x = 394,203.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.