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Finding the Third Proportional to 36,589 and 78,821

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Solution

The third proportional to 36,589 and 78,821 is: 169,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,589 : 78,821 = 78,821 : x
  2. Step 2: Convert to fraction form
    36,589/78,821 = 78,821/x
  3. Step 3: Cross multiply
    36,589x = 78,821 × 78,821
  4. Step 4: Simplify right side
    36,589x = 6,212,750,041
  5. Step 5: Solve for x
    x = 6,212,750,041/36,589
  6. Step 6: Final answer
    x = 169,798.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.