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Finding the Third Proportional to 20,682 and 31,020.75

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Solution

The third proportional to 20,682 and 31,020.75 is: 46,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682 : 31,020.75 = 31,020.75 : x
  2. Step 2: Convert to fraction form
    20,682/31,020.75 = 31,020.75/x
  3. Step 3: Cross multiply
    20,682x = 31,020.75 × 31,020.75
  4. Step 4: Simplify right side
    20,682x = 962,286,930.56
  5. Step 5: Solve for x
    x = 962,286,930.56/20,682
  6. Step 6: Final answer
    x = 46,527.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.