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Finding the Third Proportional to 20,680 and 29,538

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Solution

The third proportional to 20,680 and 29,538 is: 42,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,680 : 29,538 = 29,538 : x
  2. Step 2: Convert to fraction form
    20,680/29,538 = 29,538/x
  3. Step 3: Cross multiply
    20,680x = 29,538 × 29,538
  4. Step 4: Simplify right side
    20,680x = 872,493,444
  5. Step 5: Solve for x
    x = 872,493,444/20,680
  6. Step 6: Final answer
    x = 42,190.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.