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Finding the Third Proportional to 18,048 and 19,648

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Solution

The third proportional to 18,048 and 19,648 is: 21,389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,048 : 19,648 = 19,648 : x
  2. Step 2: Convert to fraction form
    18,048/19,648 = 19,648/x
  3. Step 3: Cross multiply
    18,048x = 19,648 × 19,648
  4. Step 4: Simplify right side
    18,048x = 386,043,904
  5. Step 5: Solve for x
    x = 386,043,904/18,048
  6. Step 6: Final answer
    x = 21,389.84

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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.