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Finding the Third Proportional to 20,745 and 31,725

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Solution

The third proportional to 20,745 and 31,725 is: 48,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,745 : 31,725 = 31,725 : x
  2. Step 2: Convert to fraction form
    20,745/31,725 = 31,725/x
  3. Step 3: Cross multiply
    20,745x = 31,725 × 31,725
  4. Step 4: Simplify right side
    20,745x = 1,006,475,625
  5. Step 5: Solve for x
    x = 1,006,475,625/20,745
  6. Step 6: Final answer
    x = 48,516.54

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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.