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Finding the Third Proportional to 7,716 and 8,247

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Solution

The third proportional to 7,716 and 8,247 is: 8,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716 : 8,247 = 8,247 : x
  2. Step 2: Convert to fraction form
    7,716/8,247 = 8,247/x
  3. Step 3: Cross multiply
    7,716x = 8,247 × 8,247
  4. Step 4: Simplify right side
    7,716x = 68,013,009
  5. Step 5: Solve for x
    x = 68,013,009/7,716
  6. Step 6: Final answer
    x = 8,814.54

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.