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Finding the Third Proportional to 6,378 and 13,944

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Solution

The third proportional to 6,378 and 13,944 is: 30,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378 : 13,944 = 13,944 : x
  2. Step 2: Convert to fraction form
    6,378/13,944 = 13,944/x
  3. Step 3: Cross multiply
    6,378x = 13,944 × 13,944
  4. Step 4: Simplify right side
    6,378x = 194,435,136
  5. Step 5: Solve for x
    x = 194,435,136/6,378
  6. Step 6: Final answer
    x = 30,485.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.