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Finding the Third Proportional to 36,811 and 79,850

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Solution

The third proportional to 36,811 and 79,850 is: 173,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,811 : 79,850 = 79,850 : x
  2. Step 2: Convert to fraction form
    36,811/79,850 = 79,850/x
  3. Step 3: Cross multiply
    36,811x = 79,850 × 79,850
  4. Step 4: Simplify right side
    36,811x = 6,376,022,500
  5. Step 5: Solve for x
    x = 6,376,022,500/36,811
  6. Step 6: Final answer
    x = 173,209.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.