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Finding the Third Proportional to 13,296 and 20,409

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Solution

The third proportional to 13,296 and 20,409 is: 31,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,296 : 20,409 = 20,409 : x
  2. Step 2: Convert to fraction form
    13,296/20,409 = 20,409/x
  3. Step 3: Cross multiply
    13,296x = 20,409 × 20,409
  4. Step 4: Simplify right side
    13,296x = 416,527,281
  5. Step 5: Solve for x
    x = 416,527,281/13,296
  6. Step 6: Final answer
    x = 31,327.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.