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Finding the Third Proportional to 3,152.36 and 4,103.83

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Solution

The third proportional to 3,152.36 and 4,103.83 is: 5,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.36 : 4,103.83 = 4,103.83 : x
  2. Step 2: Convert to fraction form
    3,152.36/4,103.83 = 4,103.83/x
  3. Step 3: Cross multiply
    3,152.36x = 4,103.83 × 4,103.83
  4. Step 4: Simplify right side
    3,152.36x = 16,841,409.29
  5. Step 5: Solve for x
    x = 16,841,409.29/3,152.36
  6. Step 6: Final answer
    x = 5,342.48

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.