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Finding the Third Proportional to 36,940 and 81,655

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Solution

The third proportional to 36,940 and 81,655 is: 180,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,940 : 81,655 = 81,655 : x
  2. Step 2: Convert to fraction form
    36,940/81,655 = 81,655/x
  3. Step 3: Cross multiply
    36,940x = 81,655 × 81,655
  4. Step 4: Simplify right side
    36,940x = 6,667,539,025
  5. Step 5: Solve for x
    x = 6,667,539,025/36,940
  6. Step 6: Final answer
    x = 180,496.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.