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Finding the Third Proportional to 13,376 and 33,680

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Solution

The third proportional to 13,376 and 33,680 is: 84,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376 : 33,680 = 33,680 : x
  2. Step 2: Convert to fraction form
    13,376/33,680 = 33,680/x
  3. Step 3: Cross multiply
    13,376x = 33,680 × 33,680
  4. Step 4: Simplify right side
    13,376x = 1,134,342,400
  5. Step 5: Solve for x
    x = 1,134,342,400/13,376
  6. Step 6: Final answer
    x = 84,804.31

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.