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Finding the Third Proportional to 11,509 and 16,884

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Solution

The third proportional to 11,509 and 16,884 is: 24,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509 : 16,884 = 16,884 : x
  2. Step 2: Convert to fraction form
    11,509/16,884 = 16,884/x
  3. Step 3: Cross multiply
    11,509x = 16,884 × 16,884
  4. Step 4: Simplify right side
    11,509x = 285,069,456
  5. Step 5: Solve for x
    x = 285,069,456/11,509
  6. Step 6: Final answer
    x = 24,769.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.