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Finding the Third Proportional to 6,406 and 8,515

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Solution

The third proportional to 6,406 and 8,515 is: 11,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406 : 8,515 = 8,515 : x
  2. Step 2: Convert to fraction form
    6,406/8,515 = 8,515/x
  3. Step 3: Cross multiply
    6,406x = 8,515 × 8,515
  4. Step 4: Simplify right side
    6,406x = 72,505,225
  5. Step 5: Solve for x
    x = 72,505,225/6,406
  6. Step 6: Final answer
    x = 11,318.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.