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Finding the Third Proportional to 20,124 and 40,517

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Solution

The third proportional to 20,124 and 40,517 is: 81,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124 : 40,517 = 40,517 : x
  2. Step 2: Convert to fraction form
    20,124/40,517 = 40,517/x
  3. Step 3: Cross multiply
    20,124x = 40,517 × 40,517
  4. Step 4: Simplify right side
    20,124x = 1,641,627,289
  5. Step 5: Solve for x
    x = 1,641,627,289/20,124
  6. Step 6: Final answer
    x = 81,575.60

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.