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Finding the Third Proportional to 13,000 and 20,812

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Solution

The third proportional to 13,000 and 20,812 is: 33,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000 : 20,812 = 20,812 : x
  2. Step 2: Convert to fraction form
    13,000/20,812 = 20,812/x
  3. Step 3: Cross multiply
    13,000x = 20,812 × 20,812
  4. Step 4: Simplify right side
    13,000x = 433,139,344
  5. Step 5: Solve for x
    x = 433,139,344/13,000
  6. Step 6: Final answer
    x = 33,318.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.