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Finding the Third Proportional to 20,538 and 30,760

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Solution

The third proportional to 20,538 and 30,760 is: 46,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 30,760 = 30,760 : x
  2. Step 2: Convert to fraction form
    20,538/30,760 = 30,760/x
  3. Step 3: Cross multiply
    20,538x = 30,760 × 30,760
  4. Step 4: Simplify right side
    20,538x = 946,177,600
  5. Step 5: Solve for x
    x = 946,177,600/20,538
  6. Step 6: Final answer
    x = 46,069.61

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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.