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Finding the Third Proportional to 3,562.31 and 3,942.84

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Solution

The third proportional to 3,562.31 and 3,942.84 is: 4,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.31 : 3,942.84 = 3,942.84 : x
  2. Step 2: Convert to fraction form
    3,562.31/3,942.84 = 3,942.84/x
  3. Step 3: Cross multiply
    3,562.31x = 3,942.84 × 3,942.84
  4. Step 4: Simplify right side
    3,562.31x = 15,546,016.84
  5. Step 5: Solve for x
    x = 15,546,016.84/3,562.31
  6. Step 6: Final answer
    x = 4,364.02

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.