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Finding the Third Proportional to 20,183 and 42,675

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Solution

The third proportional to 20,183 and 42,675 is: 90,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183 : 42,675 = 42,675 : x
  2. Step 2: Convert to fraction form
    20,183/42,675 = 42,675/x
  3. Step 3: Cross multiply
    20,183x = 42,675 × 42,675
  4. Step 4: Simplify right side
    20,183x = 1,821,155,625
  5. Step 5: Solve for x
    x = 1,821,155,625/20,183
  6. Step 6: Final answer
    x = 90,232.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.