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Finding the Third Proportional to 23,115 and 33,849.75

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Solution

The third proportional to 23,115 and 33,849.75 is: 49,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115 : 33,849.75 = 33,849.75 : x
  2. Step 2: Convert to fraction form
    23,115/33,849.75 = 33,849.75/x
  3. Step 3: Cross multiply
    23,115x = 33,849.75 × 33,849.75
  4. Step 4: Simplify right side
    23,115x = 1,145,805,575.06
  5. Step 5: Solve for x
    x = 1,145,805,575.06/23,115
  6. Step 6: Final answer
    x = 49,569.78

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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.