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Finding the Third Proportional to 1,392.82 and 3,200.13

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Solution

The third proportional to 1,392.82 and 3,200.13 is: 7,352.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.82 : 3,200.13 = 3,200.13 : x
  2. Step 2: Convert to fraction form
    1,392.82/3,200.13 = 3,200.13/x
  3. Step 3: Cross multiply
    1,392.82x = 3,200.13 × 3,200.13
  4. Step 4: Simplify right side
    1,392.82x = 10,240,850.02
  5. Step 5: Solve for x
    x = 10,240,850.02/1,392.82
  6. Step 6: Final answer
    x = 7,352.60

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.