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Finding the Third Proportional to 22,082 and 33,283

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Solution

The third proportional to 22,082 and 33,283 is: 50,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082 : 33,283 = 33,283 : x
  2. Step 2: Convert to fraction form
    22,082/33,283 = 33,283/x
  3. Step 3: Cross multiply
    22,082x = 33,283 × 33,283
  4. Step 4: Simplify right side
    22,082x = 1,107,758,089
  5. Step 5: Solve for x
    x = 1,107,758,089/22,082
  6. Step 6: Final answer
    x = 50,165.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.