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Finding the Third Proportional to 18,811 and 40,122

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Solution

The third proportional to 18,811 and 40,122 is: 85,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,811 : 40,122 = 40,122 : x
  2. Step 2: Convert to fraction form
    18,811/40,122 = 40,122/x
  3. Step 3: Cross multiply
    18,811x = 40,122 × 40,122
  4. Step 4: Simplify right side
    18,811x = 1,609,774,884
  5. Step 5: Solve for x
    x = 1,609,774,884/18,811
  6. Step 6: Final answer
    x = 85,576.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.