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Finding the Third Proportional to 6,898 and 8,392

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Solution

The third proportional to 6,898 and 8,392 is: 10,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898 : 8,392 = 8,392 : x
  2. Step 2: Convert to fraction form
    6,898/8,392 = 8,392/x
  3. Step 3: Cross multiply
    6,898x = 8,392 × 8,392
  4. Step 4: Simplify right side
    6,898x = 70,425,664
  5. Step 5: Solve for x
    x = 70,425,664/6,898
  6. Step 6: Final answer
    x = 10,209.58

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.