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Finding the Third Proportional to 13,566 and 32,679

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Solution

The third proportional to 13,566 and 32,679 is: 78,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566 : 32,679 = 32,679 : x
  2. Step 2: Convert to fraction form
    13,566/32,679 = 32,679/x
  3. Step 3: Cross multiply
    13,566x = 32,679 × 32,679
  4. Step 4: Simplify right side
    13,566x = 1,067,917,041
  5. Step 5: Solve for x
    x = 1,067,917,041/13,566
  6. Step 6: Final answer
    x = 78,720.11

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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.