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Finding the Third Proportional to 15,811 and 33,081

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Solution

The third proportional to 15,811 and 33,081 is: 69,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811 : 33,081 = 33,081 : x
  2. Step 2: Convert to fraction form
    15,811/33,081 = 33,081/x
  3. Step 3: Cross multiply
    15,811x = 33,081 × 33,081
  4. Step 4: Simplify right side
    15,811x = 1,094,352,561
  5. Step 5: Solve for x
    x = 1,094,352,561/15,811
  6. Step 6: Final answer
    x = 69,214.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.