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Finding the Third Proportional to 86,867 and 137,661

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Solution

The third proportional to 86,867 and 137,661 is: 218,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,867 : 137,661 = 137,661 : x
  2. Step 2: Convert to fraction form
    86,867/137,661 = 137,661/x
  3. Step 3: Cross multiply
    86,867x = 137,661 × 137,661
  4. Step 4: Simplify right side
    86,867x = 18,950,550,921
  5. Step 5: Solve for x
    x = 18,950,550,921/86,867
  6. Step 6: Final answer
    x = 218,155.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.