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Finding the Third Proportional to 8,909 and 13,225

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Solution

The third proportional to 8,909 and 13,225 is: 19,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909 : 13,225 = 13,225 : x
  2. Step 2: Convert to fraction form
    8,909/13,225 = 13,225/x
  3. Step 3: Cross multiply
    8,909x = 13,225 × 13,225
  4. Step 4: Simplify right side
    8,909x = 174,900,625
  5. Step 5: Solve for x
    x = 174,900,625/8,909
  6. Step 6: Final answer
    x = 19,631.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.