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Finding the Third Proportional to 6,828 and 10,425

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Solution

The third proportional to 6,828 and 10,425 is: 15,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 10,425 = 10,425 : x
  2. Step 2: Convert to fraction form
    6,828/10,425 = 10,425/x
  3. Step 3: Cross multiply
    6,828x = 10,425 × 10,425
  4. Step 4: Simplify right side
    6,828x = 108,680,625
  5. Step 5: Solve for x
    x = 108,680,625/6,828
  6. Step 6: Final answer
    x = 15,916.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.