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Finding the Third Proportional to 3,121.03 and 5,199.82

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Solution

The third proportional to 3,121.03 and 5,199.82 is: 8,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.03 : 5,199.82 = 5,199.82 : x
  2. Step 2: Convert to fraction form
    3,121.03/5,199.82 = 5,199.82/x
  3. Step 3: Cross multiply
    3,121.03x = 5,199.82 × 5,199.82
  4. Step 4: Simplify right side
    3,121.03x = 27,038,131.28
  5. Step 5: Solve for x
    x = 27,038,131.28/3,121.03
  6. Step 6: Final answer
    x = 8,663.20

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.