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Finding the Third Proportional to 2,202 and 4,845

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Solution

The third proportional to 2,202 and 4,845 is: 10,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202 : 4,845 = 4,845 : x
  2. Step 2: Convert to fraction form
    2,202/4,845 = 4,845/x
  3. Step 3: Cross multiply
    2,202x = 4,845 × 4,845
  4. Step 4: Simplify right side
    2,202x = 23,474,025
  5. Step 5: Solve for x
    x = 23,474,025/2,202
  6. Step 6: Final answer
    x = 10,660.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.