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Finding the Third Proportional to 13,190 and 20,177

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Solution

The third proportional to 13,190 and 20,177 is: 30,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,190 : 20,177 = 20,177 : x
  2. Step 2: Convert to fraction form
    13,190/20,177 = 20,177/x
  3. Step 3: Cross multiply
    13,190x = 20,177 × 20,177
  4. Step 4: Simplify right side
    13,190x = 407,111,329
  5. Step 5: Solve for x
    x = 407,111,329/13,190
  6. Step 6: Final answer
    x = 30,865.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.