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Finding the Third Proportional to 6,512 and 13,678

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Solution

The third proportional to 6,512 and 13,678 is: 28,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512 : 13,678 = 13,678 : x
  2. Step 2: Convert to fraction form
    6,512/13,678 = 13,678/x
  3. Step 3: Cross multiply
    6,512x = 13,678 × 13,678
  4. Step 4: Simplify right side
    6,512x = 187,087,684
  5. Step 5: Solve for x
    x = 187,087,684/6,512
  6. Step 6: Final answer
    x = 28,729.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.