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Finding the Third Proportional to 13,493 and 20,262

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Solution

The third proportional to 13,493 and 20,262 is: 30,426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493 : 20,262 = 20,262 : x
  2. Step 2: Convert to fraction form
    13,493/20,262 = 20,262/x
  3. Step 3: Cross multiply
    13,493x = 20,262 × 20,262
  4. Step 4: Simplify right side
    13,493x = 410,548,644
  5. Step 5: Solve for x
    x = 410,548,644/13,493
  6. Step 6: Final answer
    x = 30,426.79

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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.