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Finding the Third Proportional to 13,296 and 20,410

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Solution

The third proportional to 13,296 and 20,410 is: 31,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296 : 20,410 = 20,410 : x
  2. Step 2: Convert to fraction form
    13,296/20,410 = 20,410/x
  3. Step 3: Cross multiply
    13,296x = 20,410 × 20,410
  4. Step 4: Simplify right side
    13,296x = 416,568,100
  5. Step 5: Solve for x
    x = 416,568,100/13,296
  6. Step 6: Final answer
    x = 31,330.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.