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Finding the Third Proportional to 39,781.50 and 87,843

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Solution

The third proportional to 39,781.50 and 87,843 is: 193,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,781.50 : 87,843 = 87,843 : x
  2. Step 2: Convert to fraction form
    39,781.50/87,843 = 87,843/x
  3. Step 3: Cross multiply
    39,781.50x = 87,843 × 87,843
  4. Step 4: Simplify right side
    39,781.50x = 7,716,392,649
  5. Step 5: Solve for x
    x = 7,716,392,649/39,781.50
  6. Step 6: Final answer
    x = 193,969.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.