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Finding the Third Proportional to 18,504 and 19,816

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Solution

The third proportional to 18,504 and 19,816 is: 21,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,504 : 19,816 = 19,816 : x
  2. Step 2: Convert to fraction form
    18,504/19,816 = 19,816/x
  3. Step 3: Cross multiply
    18,504x = 19,816 × 19,816
  4. Step 4: Simplify right side
    18,504x = 392,673,856
  5. Step 5: Solve for x
    x = 392,673,856/18,504
  6. Step 6: Final answer
    x = 21,221.03

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.