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Finding the Third Proportional to 8,353 and 13,009

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Solution

The third proportional to 8,353 and 13,009 is: 20,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353 : 13,009 = 13,009 : x
  2. Step 2: Convert to fraction form
    8,353/13,009 = 13,009/x
  3. Step 3: Cross multiply
    8,353x = 13,009 × 13,009
  4. Step 4: Simplify right side
    8,353x = 169,234,081
  5. Step 5: Solve for x
    x = 169,234,081/8,353
  6. Step 6: Final answer
    x = 20,260.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.