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Finding the Third Proportional to 20,313 and 30,825

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Solution

The third proportional to 20,313 and 30,825 is: 46,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313 : 30,825 = 30,825 : x
  2. Step 2: Convert to fraction form
    20,313/30,825 = 30,825/x
  3. Step 3: Cross multiply
    20,313x = 30,825 × 30,825
  4. Step 4: Simplify right side
    20,313x = 950,180,625
  5. Step 5: Solve for x
    x = 950,180,625/20,313
  6. Step 6: Final answer
    x = 46,776.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.