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Finding the Third Proportional to 22,622 and 33,275

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Solution

The third proportional to 22,622 and 33,275 is: 48,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,622 : 33,275 = 33,275 : x
  2. Step 2: Convert to fraction form
    22,622/33,275 = 33,275/x
  3. Step 3: Cross multiply
    22,622x = 33,275 × 33,275
  4. Step 4: Simplify right side
    22,622x = 1,107,225,625
  5. Step 5: Solve for x
    x = 1,107,225,625/22,622
  6. Step 6: Final answer
    x = 48,944.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.