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Finding the Third Proportional to 3,942.84 and 8,116.03

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Solution

The third proportional to 3,942.84 and 8,116.03 is: 16,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.84 : 8,116.03 = 8,116.03 : x
  2. Step 2: Convert to fraction form
    3,942.84/8,116.03 = 8,116.03/x
  3. Step 3: Cross multiply
    3,942.84x = 8,116.03 × 8,116.03
  4. Step 4: Simplify right side
    3,942.84x = 65,869,963.25
  5. Step 5: Solve for x
    x = 65,869,963.25/3,942.84
  6. Step 6: Final answer
    x = 16,706.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.