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Finding the Third Proportional to 8,712.64 and 13,251.09

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Solution

The third proportional to 8,712.64 and 13,251.09 is: 20,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.64 : 13,251.09 = 13,251.09 : x
  2. Step 2: Convert to fraction form
    8,712.64/13,251.09 = 13,251.09/x
  3. Step 3: Cross multiply
    8,712.64x = 13,251.09 × 13,251.09
  4. Step 4: Simplify right side
    8,712.64x = 175,591,485.57
  5. Step 5: Solve for x
    x = 175,591,485.57/8,712.64
  6. Step 6: Final answer
    x = 20,153.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.