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Finding the Third Proportional to 3,128.34 and 6,843.94

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Solution

The third proportional to 3,128.34 and 6,843.94 is: 14,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.34 : 6,843.94 = 6,843.94 : x
  2. Step 2: Convert to fraction form
    3,128.34/6,843.94 = 6,843.94/x
  3. Step 3: Cross multiply
    3,128.34x = 6,843.94 × 6,843.94
  4. Step 4: Simplify right side
    3,128.34x = 46,839,480.50
  5. Step 5: Solve for x
    x = 46,839,480.50/3,128.34
  6. Step 6: Final answer
    x = 14,972.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.