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Finding the Third Proportional to 13,812 and 32,748

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Solution

The third proportional to 13,812 and 32,748 is: 77,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812 : 32,748 = 32,748 : x
  2. Step 2: Convert to fraction form
    13,812/32,748 = 32,748/x
  3. Step 3: Cross multiply
    13,812x = 32,748 × 32,748
  4. Step 4: Simplify right side
    13,812x = 1,072,431,504
  5. Step 5: Solve for x
    x = 1,072,431,504/13,812
  6. Step 6: Final answer
    x = 77,644.91

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.