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Finding the Third Proportional to 3,199.78 and 6,559.03

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Solution

The third proportional to 3,199.78 and 6,559.03 is: 13,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.78 : 6,559.03 = 6,559.03 : x
  2. Step 2: Convert to fraction form
    3,199.78/6,559.03 = 6,559.03/x
  3. Step 3: Cross multiply
    3,199.78x = 6,559.03 × 6,559.03
  4. Step 4: Simplify right side
    3,199.78x = 43,020,890.94
  5. Step 5: Solve for x
    x = 43,020,890.94/3,199.78
  6. Step 6: Final answer
    x = 13,444.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.