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Finding the Third Proportional to 2,202.94 and 3,243.56

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Solution

The third proportional to 2,202.94 and 3,243.56 is: 4,775.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.94 : 3,243.56 = 3,243.56 : x
  2. Step 2: Convert to fraction form
    2,202.94/3,243.56 = 3,243.56/x
  3. Step 3: Cross multiply
    2,202.94x = 3,243.56 × 3,243.56
  4. Step 4: Simplify right side
    2,202.94x = 10,520,697.69
  5. Step 5: Solve for x
    x = 10,520,697.69/2,202.94
  6. Step 6: Final answer
    x = 4,775.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.