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Finding the Third Proportional to 2,121.75 and 3,084.75

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Solution

The third proportional to 2,121.75 and 3,084.75 is: 4,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.75 : 3,084.75 = 3,084.75 : x
  2. Step 2: Convert to fraction form
    2,121.75/3,084.75 = 3,084.75/x
  3. Step 3: Cross multiply
    2,121.75x = 3,084.75 × 3,084.75
  4. Step 4: Simplify right side
    2,121.75x = 9,515,682.56
  5. Step 5: Solve for x
    x = 9,515,682.56/2,121.75
  6. Step 6: Final answer
    x = 4,484.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.