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Finding the Third Proportional to 33,711 and 52,878.75

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Solution

The third proportional to 33,711 and 52,878.75 is: 82,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,711 : 52,878.75 = 52,878.75 : x
  2. Step 2: Convert to fraction form
    33,711/52,878.75 = 52,878.75/x
  3. Step 3: Cross multiply
    33,711x = 52,878.75 × 52,878.75
  4. Step 4: Simplify right side
    33,711x = 2,796,162,201.56
  5. Step 5: Solve for x
    x = 2,796,162,201.56/33,711
  6. Step 6: Final answer
    x = 82,945.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.