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Finding the Third Proportional to 20,744 and 31,500

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Solution

The third proportional to 20,744 and 31,500 is: 47,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744 : 31,500 = 31,500 : x
  2. Step 2: Convert to fraction form
    20,744/31,500 = 31,500/x
  3. Step 3: Cross multiply
    20,744x = 31,500 × 31,500
  4. Step 4: Simplify right side
    20,744x = 992,250,000
  5. Step 5: Solve for x
    x = 992,250,000/20,744
  6. Step 6: Final answer
    x = 47,833.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.