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Finding the Third Proportional to 87,838 and 135,879

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Solution

The third proportional to 87,838 and 135,879 is: 210,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,838 : 135,879 = 135,879 : x
  2. Step 2: Convert to fraction form
    87,838/135,879 = 135,879/x
  3. Step 3: Cross multiply
    87,838x = 135,879 × 135,879
  4. Step 4: Simplify right side
    87,838x = 18,463,102,641
  5. Step 5: Solve for x
    x = 18,463,102,641/87,838
  6. Step 6: Final answer
    x = 210,194.93

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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.