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Finding the Third Proportional to 20,169 and 31,331.81

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Solution

The third proportional to 20,169 and 31,331.81 is: 48,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169 : 31,331.81 = 31,331.81 : x
  2. Step 2: Convert to fraction form
    20,169/31,331.81 = 31,331.81/x
  3. Step 3: Cross multiply
    20,169x = 31,331.81 × 31,331.81
  4. Step 4: Simplify right side
    20,169x = 981,682,474.54
  5. Step 5: Solve for x
    x = 981,682,474.54/20,169
  6. Step 6: Final answer
    x = 48,672.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.