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Finding the Third Proportional to 36,589 and 78,725

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Solution

The third proportional to 36,589 and 78,725 is: 169,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,589 : 78,725 = 78,725 : x
  2. Step 2: Convert to fraction form
    36,589/78,725 = 78,725/x
  3. Step 3: Cross multiply
    36,589x = 78,725 × 78,725
  4. Step 4: Simplify right side
    36,589x = 6,197,625,625
  5. Step 5: Solve for x
    x = 6,197,625,625/36,589
  6. Step 6: Final answer
    x = 169,384.94

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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.