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Finding the Third Proportional to 3,706.31 and 8,859.09

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Solution

The third proportional to 3,706.31 and 8,859.09 is: 21,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.31 : 8,859.09 = 8,859.09 : x
  2. Step 2: Convert to fraction form
    3,706.31/8,859.09 = 8,859.09/x
  3. Step 3: Cross multiply
    3,706.31x = 8,859.09 × 8,859.09
  4. Step 4: Simplify right side
    3,706.31x = 78,483,542.07
  5. Step 5: Solve for x
    x = 78,483,542.07/3,706.31
  6. Step 6: Final answer
    x = 21,175.64

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.