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Finding the Third Proportional to 3,428.88 and 5,120.81

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Solution

The third proportional to 3,428.88 and 5,120.81 is: 7,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.88 : 5,120.81 = 5,120.81 : x
  2. Step 2: Convert to fraction form
    3,428.88/5,120.81 = 5,120.81/x
  3. Step 3: Cross multiply
    3,428.88x = 5,120.81 × 5,120.81
  4. Step 4: Simplify right side
    3,428.88x = 26,222,720.66
  5. Step 5: Solve for x
    x = 26,222,720.66/3,428.88
  6. Step 6: Final answer
    x = 7,647.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.