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Finding the Third Proportional to 20,538 and 28,614

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Solution

The third proportional to 20,538 and 28,614 is: 39,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 28,614 = 28,614 : x
  2. Step 2: Convert to fraction form
    20,538/28,614 = 28,614/x
  3. Step 3: Cross multiply
    20,538x = 28,614 × 28,614
  4. Step 4: Simplify right side
    20,538x = 818,760,996
  5. Step 5: Solve for x
    x = 818,760,996/20,538
  6. Step 6: Final answer
    x = 39,865.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.