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Finding the Third Proportional to 103,731 and 211,266

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Solution

The third proportional to 103,731 and 211,266 is: 430,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,731 : 211,266 = 211,266 : x
  2. Step 2: Convert to fraction form
    103,731/211,266 = 211,266/x
  3. Step 3: Cross multiply
    103,731x = 211,266 × 211,266
  4. Step 4: Simplify right side
    103,731x = 44,633,322,756
  5. Step 5: Solve for x
    x = 44,633,322,756/103,731
  6. Step 6: Final answer
    x = 430,279.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.