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Finding the Third Proportional to 3,245.06 and 6,556.78

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Solution

The third proportional to 3,245.06 and 6,556.78 is: 13,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.06 : 6,556.78 = 6,556.78 : x
  2. Step 2: Convert to fraction form
    3,245.06/6,556.78 = 6,556.78/x
  3. Step 3: Cross multiply
    3,245.06x = 6,556.78 × 6,556.78
  4. Step 4: Simplify right side
    3,245.06x = 42,991,380.36
  5. Step 5: Solve for x
    x = 42,991,380.36/3,245.06
  6. Step 6: Final answer
    x = 13,248.24

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.