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Finding the Third Proportional to 13,423 and 20,147

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Solution

The third proportional to 13,423 and 20,147 is: 30,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423 : 20,147 = 20,147 : x
  2. Step 2: Convert to fraction form
    13,423/20,147 = 20,147/x
  3. Step 3: Cross multiply
    13,423x = 20,147 × 20,147
  4. Step 4: Simplify right side
    13,423x = 405,901,609
  5. Step 5: Solve for x
    x = 405,901,609/13,423
  6. Step 6: Final answer
    x = 30,239.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.