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Finding the Third Proportional to 13,740 and 20,757

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Solution

The third proportional to 13,740 and 20,757 is: 31,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740 : 20,757 = 20,757 : x
  2. Step 2: Convert to fraction form
    13,740/20,757 = 20,757/x
  3. Step 3: Cross multiply
    13,740x = 20,757 × 20,757
  4. Step 4: Simplify right side
    13,740x = 430,853,049
  5. Step 5: Solve for x
    x = 430,853,049/13,740
  6. Step 6: Final answer
    x = 31,357.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.