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Finding the Third Proportional to 8,543 and 17,869

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Solution

The third proportional to 8,543 and 17,869 is: 37,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543 : 17,869 = 17,869 : x
  2. Step 2: Convert to fraction form
    8,543/17,869 = 17,869/x
  3. Step 3: Cross multiply
    8,543x = 17,869 × 17,869
  4. Step 4: Simplify right side
    8,543x = 319,301,161
  5. Step 5: Solve for x
    x = 319,301,161/8,543
  6. Step 6: Final answer
    x = 37,375.77

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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.