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Finding the Third Proportional to 10,884 and 18,310

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Solution

The third proportional to 10,884 and 18,310 is: 30,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884 : 18,310 = 18,310 : x
  2. Step 2: Convert to fraction form
    10,884/18,310 = 18,310/x
  3. Step 3: Cross multiply
    10,884x = 18,310 × 18,310
  4. Step 4: Simplify right side
    10,884x = 335,256,100
  5. Step 5: Solve for x
    x = 335,256,100/10,884
  6. Step 6: Final answer
    x = 30,802.66

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.