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Finding the Third Proportional to 20,682 and 31,635

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Solution

The third proportional to 20,682 and 31,635 is: 48,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682 : 31,635 = 31,635 : x
  2. Step 2: Convert to fraction form
    20,682/31,635 = 31,635/x
  3. Step 3: Cross multiply
    20,682x = 31,635 × 31,635
  4. Step 4: Simplify right side
    20,682x = 1,000,773,225
  5. Step 5: Solve for x
    x = 1,000,773,225/20,682
  6. Step 6: Final answer
    x = 48,388.61

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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.