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Finding the Third Proportional to 4,109 and 8,569

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Solution

The third proportional to 4,109 and 8,569 is: 17,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109 : 8,569 = 8,569 : x
  2. Step 2: Convert to fraction form
    4,109/8,569 = 8,569/x
  3. Step 3: Cross multiply
    4,109x = 8,569 × 8,569
  4. Step 4: Simplify right side
    4,109x = 73,427,761
  5. Step 5: Solve for x
    x = 73,427,761/4,109
  6. Step 6: Final answer
    x = 17,869.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.