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Finding the Third Proportional to 3,021 and 3,990.75

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Solution

The third proportional to 3,021 and 3,990.75 is: 5,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021 : 3,990.75 = 3,990.75 : x
  2. Step 2: Convert to fraction form
    3,021/3,990.75 = 3,990.75/x
  3. Step 3: Cross multiply
    3,021x = 3,990.75 × 3,990.75
  4. Step 4: Simplify right side
    3,021x = 15,926,085.56
  5. Step 5: Solve for x
    x = 15,926,085.56/3,021
  6. Step 6: Final answer
    x = 5,271.79

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.