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Finding the Third Proportional to 20,812 and 31,483

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Solution

The third proportional to 20,812 and 31,483 is: 47,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812 : 31,483 = 31,483 : x
  2. Step 2: Convert to fraction form
    20,812/31,483 = 31,483/x
  3. Step 3: Cross multiply
    20,812x = 31,483 × 31,483
  4. Step 4: Simplify right side
    20,812x = 991,179,289
  5. Step 5: Solve for x
    x = 991,179,289/20,812
  6. Step 6: Final answer
    x = 47,625.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.