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Finding the Third Proportional to 2,208 and 4,851.38

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Solution

The third proportional to 2,208 and 4,851.38 is: 10,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208 : 4,851.38 = 4,851.38 : x
  2. Step 2: Convert to fraction form
    2,208/4,851.38 = 4,851.38/x
  3. Step 3: Cross multiply
    2,208x = 4,851.38 × 4,851.38
  4. Step 4: Simplify right side
    2,208x = 23,535,839.39
  5. Step 5: Solve for x
    x = 23,535,839.39/2,208
  6. Step 6: Final answer
    x = 10,659.35

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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.