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Finding the Third Proportional to 101,800 and 223,208

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Solution

The third proportional to 101,800 and 223,208 is: 489,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,800 : 223,208 = 223,208 : x
  2. Step 2: Convert to fraction form
    101,800/223,208 = 223,208/x
  3. Step 3: Cross multiply
    101,800x = 223,208 × 223,208
  4. Step 4: Simplify right side
    101,800x = 49,821,811,264
  5. Step 5: Solve for x
    x = 49,821,811,264/101,800
  6. Step 6: Final answer
    x = 489,408.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.