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Finding the Third Proportional to 1,678 and 3,016

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Solution

The third proportional to 1,678 and 3,016 is: 5,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678 : 3,016 = 3,016 : x
  2. Step 2: Convert to fraction form
    1,678/3,016 = 3,016/x
  3. Step 3: Cross multiply
    1,678x = 3,016 × 3,016
  4. Step 4: Simplify right side
    1,678x = 9,096,256
  5. Step 5: Solve for x
    x = 9,096,256/1,678
  6. Step 6: Final answer
    x = 5,420.89

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.