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Finding the Third Proportional to 15,753 and 33,491

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Solution

The third proportional to 15,753 and 33,491 is: 71,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753 : 33,491 = 33,491 : x
  2. Step 2: Convert to fraction form
    15,753/33,491 = 33,491/x
  3. Step 3: Cross multiply
    15,753x = 33,491 × 33,491
  4. Step 4: Simplify right side
    15,753x = 1,121,647,081
  5. Step 5: Solve for x
    x = 1,121,647,081/15,753
  6. Step 6: Final answer
    x = 71,202.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.