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Finding the Third Proportional to 13,758 and 20,668

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Solution

The third proportional to 13,758 and 20,668 is: 31,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758 : 20,668 = 20,668 : x
  2. Step 2: Convert to fraction form
    13,758/20,668 = 20,668/x
  3. Step 3: Cross multiply
    13,758x = 20,668 × 20,668
  4. Step 4: Simplify right side
    13,758x = 427,166,224
  5. Step 5: Solve for x
    x = 427,166,224/13,758
  6. Step 6: Final answer
    x = 31,048.57

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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.