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Finding the Third Proportional to 16,838 and 18,310

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Solution

The third proportional to 16,838 and 18,310 is: 19,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838 : 18,310 = 18,310 : x
  2. Step 2: Convert to fraction form
    16,838/18,310 = 18,310/x
  3. Step 3: Cross multiply
    16,838x = 18,310 × 18,310
  4. Step 4: Simplify right side
    16,838x = 335,256,100
  5. Step 5: Solve for x
    x = 335,256,100/16,838
  6. Step 6: Final answer
    x = 19,910.68

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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.