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Finding the Third Proportional to 3,519.75 and 7,443.75

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Solution

The third proportional to 3,519.75 and 7,443.75 is: 15,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.75 : 7,443.75 = 7,443.75 : x
  2. Step 2: Convert to fraction form
    3,519.75/7,443.75 = 7,443.75/x
  3. Step 3: Cross multiply
    3,519.75x = 7,443.75 × 7,443.75
  4. Step 4: Simplify right side
    3,519.75x = 55,409,414.06
  5. Step 5: Solve for x
    x = 55,409,414.06/3,519.75
  6. Step 6: Final answer
    x = 15,742.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.