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Finding the Third Proportional to 22,756 and 33,134

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Solution

The third proportional to 22,756 and 33,134 is: 48,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756 : 33,134 = 33,134 : x
  2. Step 2: Convert to fraction form
    22,756/33,134 = 33,134/x
  3. Step 3: Cross multiply
    22,756x = 33,134 × 33,134
  4. Step 4: Simplify right side
    22,756x = 1,097,861,956
  5. Step 5: Solve for x
    x = 1,097,861,956/22,756
  6. Step 6: Final answer
    x = 48,244.94

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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.