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Finding the Third Proportional to 3,348.84 and 7,286.20

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Solution

The third proportional to 3,348.84 and 7,286.20 is: 15,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.84 : 7,286.20 = 7,286.20 : x
  2. Step 2: Convert to fraction form
    3,348.84/7,286.20 = 7,286.20/x
  3. Step 3: Cross multiply
    3,348.84x = 7,286.20 × 7,286.20
  4. Step 4: Simplify right side
    3,348.84x = 53,088,755.98
  5. Step 5: Solve for x
    x = 53,088,755.98/3,348.84
  6. Step 6: Final answer
    x = 15,852.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.