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Finding the Third Proportional to 13,274 and 20,375

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Solution

The third proportional to 13,274 and 20,375 is: 31,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274 : 20,375 = 20,375 : x
  2. Step 2: Convert to fraction form
    13,274/20,375 = 20,375/x
  3. Step 3: Cross multiply
    13,274x = 20,375 × 20,375
  4. Step 4: Simplify right side
    13,274x = 415,140,625
  5. Step 5: Solve for x
    x = 415,140,625/13,274
  6. Step 6: Final answer
    x = 31,274.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.