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Finding the Third Proportional to 20,934 and 31,416.75

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Solution

The third proportional to 20,934 and 31,416.75 is: 47,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,934 : 31,416.75 = 31,416.75 : x
  2. Step 2: Convert to fraction form
    20,934/31,416.75 = 31,416.75/x
  3. Step 3: Cross multiply
    20,934x = 31,416.75 × 31,416.75
  4. Step 4: Simplify right side
    20,934x = 987,012,180.56
  5. Step 5: Solve for x
    x = 987,012,180.56/20,934
  6. Step 6: Final answer
    x = 47,148.76

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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.