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Finding the Third Proportional to 10,867 and 23,753

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Solution

The third proportional to 10,867 and 23,753 is: 51,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867 : 23,753 = 23,753 : x
  2. Step 2: Convert to fraction form
    10,867/23,753 = 23,753/x
  3. Step 3: Cross multiply
    10,867x = 23,753 × 23,753
  4. Step 4: Simplify right side
    10,867x = 564,205,009
  5. Step 5: Solve for x
    x = 564,205,009/10,867
  6. Step 6: Final answer
    x = 51,919.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.