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Finding the Third Proportional to 13,563 and 32,668

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Solution

The third proportional to 13,563 and 32,668 is: 78,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563 : 32,668 = 32,668 : x
  2. Step 2: Convert to fraction form
    13,563/32,668 = 32,668/x
  3. Step 3: Cross multiply
    13,563x = 32,668 × 32,668
  4. Step 4: Simplify right side
    13,563x = 1,067,198,224
  5. Step 5: Solve for x
    x = 1,067,198,224/13,563
  6. Step 6: Final answer
    x = 78,684.53

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.