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Finding the Third Proportional to 3,078 and 6,318

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Solution

The third proportional to 3,078 and 6,318 is: 12,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078 : 6,318 = 6,318 : x
  2. Step 2: Convert to fraction form
    3,078/6,318 = 6,318/x
  3. Step 3: Cross multiply
    3,078x = 6,318 × 6,318
  4. Step 4: Simplify right side
    3,078x = 39,917,124
  5. Step 5: Solve for x
    x = 39,917,124/3,078
  6. Step 6: Final answer
    x = 12,968.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.