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Finding the Third Proportional to 20,190 and 30,861

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Solution

The third proportional to 20,190 and 30,861 is: 47,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,190 : 30,861 = 30,861 : x
  2. Step 2: Convert to fraction form
    20,190/30,861 = 30,861/x
  3. Step 3: Cross multiply
    20,190x = 30,861 × 30,861
  4. Step 4: Simplify right side
    20,190x = 952,401,321
  5. Step 5: Solve for x
    x = 952,401,321/20,190
  6. Step 6: Final answer
    x = 47,171.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.