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Finding the Third Proportional to 11,043 and 23,848

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Solution

The third proportional to 11,043 and 23,848 is: 51,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043 : 23,848 = 23,848 : x
  2. Step 2: Convert to fraction form
    11,043/23,848 = 23,848/x
  3. Step 3: Cross multiply
    11,043x = 23,848 × 23,848
  4. Step 4: Simplify right side
    11,043x = 568,727,104
  5. Step 5: Solve for x
    x = 568,727,104/11,043
  6. Step 6: Final answer
    x = 51,501.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.