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Finding the Third Proportional to 13,860 and 20,790

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Solution

The third proportional to 13,860 and 20,790 is: 31,185

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 20,790 = 20,790 : x
  2. Step 2: Convert to fraction form
    13,860/20,790 = 20,790/x
  3. Step 3: Cross multiply
    13,860x = 20,790 × 20,790
  4. Step 4: Simplify right side
    13,860x = 432,224,100
  5. Step 5: Solve for x
    x = 432,224,100/13,860
  6. Step 6: Final answer
    x = 31,185

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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.