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Finding the Third Proportional to 8,479 and 9,247

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Solution

The third proportional to 8,479 and 9,247 is: 10,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,479 : 9,247 = 9,247 : x
  2. Step 2: Convert to fraction form
    8,479/9,247 = 9,247/x
  3. Step 3: Cross multiply
    8,479x = 9,247 × 9,247
  4. Step 4: Simplify right side
    8,479x = 85,507,009
  5. Step 5: Solve for x
    x = 85,507,009/8,479
  6. Step 6: Final answer
    x = 10,084.56

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.