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Finding the Third Proportional to 3,078 and 4,095

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Solution

The third proportional to 3,078 and 4,095 is: 5,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 4,095 = 4,095 : x
  2. Step 2: Convert to fraction form
    3,078/4,095 = 4,095/x
  3. Step 3: Cross multiply
    3,078x = 4,095 × 4,095
  4. Step 4: Simplify right side
    3,078x = 16,769,025
  5. Step 5: Solve for x
    x = 16,769,025/3,078
  6. Step 6: Final answer
    x = 5,448.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.