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Finding the Third Proportional to 13,189 and 20,395

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Solution

The third proportional to 13,189 and 20,395 is: 31,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189 : 20,395 = 20,395 : x
  2. Step 2: Convert to fraction form
    13,189/20,395 = 20,395/x
  3. Step 3: Cross multiply
    13,189x = 20,395 × 20,395
  4. Step 4: Simplify right side
    13,189x = 415,956,025
  5. Step 5: Solve for x
    x = 415,956,025/13,189
  6. Step 6: Final answer
    x = 31,538.10

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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.