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Finding the Third Proportional to 23,141 and 33,847

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Solution

The third proportional to 23,141 and 33,847 is: 49,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141 : 33,847 = 33,847 : x
  2. Step 2: Convert to fraction form
    23,141/33,847 = 33,847/x
  3. Step 3: Cross multiply
    23,141x = 33,847 × 33,847
  4. Step 4: Simplify right side
    23,141x = 1,145,619,409
  5. Step 5: Solve for x
    x = 1,145,619,409/23,141
  6. Step 6: Final answer
    x = 49,506.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.