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Finding the Third Proportional to 1,696.78 and 3,716.72

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Solution

The third proportional to 1,696.78 and 3,716.72 is: 8,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.78 : 3,716.72 = 3,716.72 : x
  2. Step 2: Convert to fraction form
    1,696.78/3,716.72 = 3,716.72/x
  3. Step 3: Cross multiply
    1,696.78x = 3,716.72 × 3,716.72
  4. Step 4: Simplify right side
    1,696.78x = 13,813,998.27
  5. Step 5: Solve for x
    x = 13,813,998.27/1,696.78
  6. Step 6: Final answer
    x = 8,141.30

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