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Finding the Third Proportional to 20,195.50 and 31,000

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Solution

The third proportional to 20,195.50 and 31,000 is: 47,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.50 : 31,000 = 31,000 : x
  2. Step 2: Convert to fraction form
    20,195.50/31,000 = 31,000/x
  3. Step 3: Cross multiply
    20,195.50x = 31,000 × 31,000
  4. Step 4: Simplify right side
    20,195.50x = 961,000,000
  5. Step 5: Solve for x
    x = 961,000,000/20,195.50
  6. Step 6: Final answer
    x = 47,584.86

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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.