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Finding the Third Proportional to 40,120 and 86,589

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Solution

The third proportional to 40,120 and 86,589 is: 186,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,120 : 86,589 = 86,589 : x
  2. Step 2: Convert to fraction form
    40,120/86,589 = 86,589/x
  3. Step 3: Cross multiply
    40,120x = 86,589 × 86,589
  4. Step 4: Simplify right side
    40,120x = 7,497,654,921
  5. Step 5: Solve for x
    x = 7,497,654,921/40,120
  6. Step 6: Final answer
    x = 186,880.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.