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Finding the Third Proportional to 3,855.94 and 5,409.28

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Solution

The third proportional to 3,855.94 and 5,409.28 is: 7,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.94 : 5,409.28 = 5,409.28 : x
  2. Step 2: Convert to fraction form
    3,855.94/5,409.28 = 5,409.28/x
  3. Step 3: Cross multiply
    3,855.94x = 5,409.28 × 5,409.28
  4. Step 4: Simplify right side
    3,855.94x = 29,260,323.64
  5. Step 5: Solve for x
    x = 29,260,323.64/3,855.94
  6. Step 6: Final answer
    x = 7,588.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.