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Finding the Third Proportional to 13,508 and 20,350

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Solution

The third proportional to 13,508 and 20,350 is: 30,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508 : 20,350 = 20,350 : x
  2. Step 2: Convert to fraction form
    13,508/20,350 = 20,350/x
  3. Step 3: Cross multiply
    13,508x = 20,350 × 20,350
  4. Step 4: Simplify right side
    13,508x = 414,122,500
  5. Step 5: Solve for x
    x = 414,122,500/13,508
  6. Step 6: Final answer
    x = 30,657.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.