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Finding the Third Proportional to 8,171 and 8,909

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Solution

The third proportional to 8,171 and 8,909 is: 9,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171 : 8,909 = 8,909 : x
  2. Step 2: Convert to fraction form
    8,171/8,909 = 8,909/x
  3. Step 3: Cross multiply
    8,171x = 8,909 × 8,909
  4. Step 4: Simplify right side
    8,171x = 79,370,281
  5. Step 5: Solve for x
    x = 79,370,281/8,171
  6. Step 6: Final answer
    x = 9,713.66

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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.