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Finding the Third Proportional to 9,083 and 21,227

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Solution

The third proportional to 9,083 and 21,227 is: 49,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083 : 21,227 = 21,227 : x
  2. Step 2: Convert to fraction form
    9,083/21,227 = 21,227/x
  3. Step 3: Cross multiply
    9,083x = 21,227 × 21,227
  4. Step 4: Simplify right side
    9,083x = 450,585,529
  5. Step 5: Solve for x
    x = 450,585,529/9,083
  6. Step 6: Final answer
    x = 49,607.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.