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Finding the Third Proportional to 8,399 and 13,247

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Solution

The third proportional to 8,399 and 13,247 is: 20,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399 : 13,247 = 13,247 : x
  2. Step 2: Convert to fraction form
    8,399/13,247 = 13,247/x
  3. Step 3: Cross multiply
    8,399x = 13,247 × 13,247
  4. Step 4: Simplify right side
    8,399x = 175,483,009
  5. Step 5: Solve for x
    x = 175,483,009/8,399
  6. Step 6: Final answer
    x = 20,893.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.