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Finding the Third Proportional to 3,384.75 and 7,344.75

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Solution

The third proportional to 3,384.75 and 7,344.75 is: 15,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.75 : 7,344.75 = 7,344.75 : x
  2. Step 2: Convert to fraction form
    3,384.75/7,344.75 = 7,344.75/x
  3. Step 3: Cross multiply
    3,384.75x = 7,344.75 × 7,344.75
  4. Step 4: Simplify right side
    3,384.75x = 53,945,352.56
  5. Step 5: Solve for x
    x = 53,945,352.56/3,384.75
  6. Step 6: Final answer
    x = 15,937.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.