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Finding the Third Proportional to 87,615 and 135,918

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Solution

The third proportional to 87,615 and 135,918 is: 210,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,615 : 135,918 = 135,918 : x
  2. Step 2: Convert to fraction form
    87,615/135,918 = 135,918/x
  3. Step 3: Cross multiply
    87,615x = 135,918 × 135,918
  4. Step 4: Simplify right side
    87,615x = 18,473,702,724
  5. Step 5: Solve for x
    x = 18,473,702,724/87,615
  6. Step 6: Final answer
    x = 210,850.91

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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.