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Finding the Third Proportional to 22,493 and 33,557

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Solution

The third proportional to 22,493 and 33,557 is: 50,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493 : 33,557 = 33,557 : x
  2. Step 2: Convert to fraction form
    22,493/33,557 = 33,557/x
  3. Step 3: Cross multiply
    22,493x = 33,557 × 33,557
  4. Step 4: Simplify right side
    22,493x = 1,126,072,249
  5. Step 5: Solve for x
    x = 1,126,072,249/22,493
  6. Step 6: Final answer
    x = 50,063.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.