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Finding the Third Proportional to 678 and 1,318

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Solution

The third proportional to 678 and 1,318 is: 2,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678 : 1,318 = 1,318 : x
  2. Step 2: Convert to fraction form
    678/1,318 = 1,318/x
  3. Step 3: Cross multiply
    678x = 1,318 × 1,318
  4. Step 4: Simplify right side
    678x = 1,737,124
  5. Step 5: Solve for x
    x = 1,737,124/678
  6. Step 6: Final answer
    x = 2,562.13

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.