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Finding the Third Proportional to 3,285.56 and 7,209.56

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Solution

The third proportional to 3,285.56 and 7,209.56 is: 15,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.56 : 7,209.56 = 7,209.56 : x
  2. Step 2: Convert to fraction form
    3,285.56/7,209.56 = 7,209.56/x
  3. Step 3: Cross multiply
    3,285.56x = 7,209.56 × 7,209.56
  4. Step 4: Simplify right side
    3,285.56x = 51,977,791.44
  5. Step 5: Solve for x
    x = 51,977,791.44/3,285.56
  6. Step 6: Final answer
    x = 15,820.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.