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Finding the Third Proportional to 3,121.03 and 7,283.36

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Solution

The third proportional to 3,121.03 and 7,283.36 is: 16,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.03 : 7,283.36 = 7,283.36 : x
  2. Step 2: Convert to fraction form
    3,121.03/7,283.36 = 7,283.36/x
  3. Step 3: Cross multiply
    3,121.03x = 7,283.36 × 7,283.36
  4. Step 4: Simplify right side
    3,121.03x = 53,047,266.88
  5. Step 5: Solve for x
    x = 53,047,266.88/3,121.03
  6. Step 6: Final answer
    x = 16,996.71

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.