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Finding the Third Proportional to 3,205.50 and 6,665.63

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Solution

The third proportional to 3,205.50 and 6,665.63 is: 13,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.50 : 6,665.63 = 6,665.63 : x
  2. Step 2: Convert to fraction form
    3,205.50/6,665.63 = 6,665.63/x
  3. Step 3: Cross multiply
    3,205.50x = 6,665.63 × 6,665.63
  4. Step 4: Simplify right side
    3,205.50x = 44,430,556.64
  5. Step 5: Solve for x
    x = 44,430,556.64/3,205.50
  6. Step 6: Final answer
    x = 13,860.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.