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Finding the Third Proportional to 13,018 and 20,189

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Solution

The third proportional to 13,018 and 20,189 is: 31,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018 : 20,189 = 20,189 : x
  2. Step 2: Convert to fraction form
    13,018/20,189 = 20,189/x
  3. Step 3: Cross multiply
    13,018x = 20,189 × 20,189
  4. Step 4: Simplify right side
    13,018x = 407,595,721
  5. Step 5: Solve for x
    x = 407,595,721/13,018
  6. Step 6: Final answer
    x = 31,310.16

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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.