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Finding the Third Proportional to 2,343.73 and 3,296.32

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Solution

The third proportional to 2,343.73 and 3,296.32 is: 4,636.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.73 : 3,296.32 = 3,296.32 : x
  2. Step 2: Convert to fraction form
    2,343.73/3,296.32 = 3,296.32/x
  3. Step 3: Cross multiply
    2,343.73x = 3,296.32 × 3,296.32
  4. Step 4: Simplify right side
    2,343.73x = 10,865,727.60
  5. Step 5: Solve for x
    x = 10,865,727.60/2,343.73
  6. Step 6: Final answer
    x = 4,636.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.