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Finding the Third Proportional to 20,538 and 29,369

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Solution

The third proportional to 20,538 and 29,369 is: 41,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 29,369 = 29,369 : x
  2. Step 2: Convert to fraction form
    20,538/29,369 = 29,369/x
  3. Step 3: Cross multiply
    20,538x = 29,369 × 29,369
  4. Step 4: Simplify right side
    20,538x = 862,538,161
  5. Step 5: Solve for x
    x = 862,538,161/20,538
  6. Step 6: Final answer
    x = 41,997.18

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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.