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Finding the Third Proportional to 20,169 and 31,185

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Solution

The third proportional to 20,169 and 31,185 is: 48,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,169 : 31,185 = 31,185 : x
  2. Step 2: Convert to fraction form
    20,169/31,185 = 31,185/x
  3. Step 3: Cross multiply
    20,169x = 31,185 × 31,185
  4. Step 4: Simplify right side
    20,169x = 972,504,225
  5. Step 5: Solve for x
    x = 972,504,225/20,169
  6. Step 6: Final answer
    x = 48,217.77

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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.