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Finding the Third Proportional to 3,763.97 and 8,135.44

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Solution

The third proportional to 3,763.97 and 8,135.44 is: 17,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.97 : 8,135.44 = 8,135.44 : x
  2. Step 2: Convert to fraction form
    3,763.97/8,135.44 = 8,135.44/x
  3. Step 3: Cross multiply
    3,763.97x = 8,135.44 × 8,135.44
  4. Step 4: Simplify right side
    3,763.97x = 66,185,343.32
  5. Step 5: Solve for x
    x = 66,185,343.32/3,763.97
  6. Step 6: Final answer
    x = 17,583.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.