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Finding the Third Proportional to 2,120 and 2,884

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Solution

The third proportional to 2,120 and 2,884 is: 3,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120 : 2,884 = 2,884 : x
  2. Step 2: Convert to fraction form
    2,120/2,884 = 2,884/x
  3. Step 3: Cross multiply
    2,120x = 2,884 × 2,884
  4. Step 4: Simplify right side
    2,120x = 8,317,456
  5. Step 5: Solve for x
    x = 8,317,456/2,120
  6. Step 6: Final answer
    x = 3,923.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.