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Finding the Third Proportional to 101,818 and 223,718

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Solution

The third proportional to 101,818 and 223,718 is: 491,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,818 : 223,718 = 223,718 : x
  2. Step 2: Convert to fraction form
    101,818/223,718 = 223,718/x
  3. Step 3: Cross multiply
    101,818x = 223,718 × 223,718
  4. Step 4: Simplify right side
    101,818x = 50,049,743,524
  5. Step 5: Solve for x
    x = 50,049,743,524/101,818
  6. Step 6: Final answer
    x = 491,560.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.