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Finding the Third Proportional to 107,245 and 211,795

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Solution

The third proportional to 107,245 and 211,795 is: 418,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,245 : 211,795 = 211,795 : x
  2. Step 2: Convert to fraction form
    107,245/211,795 = 211,795/x
  3. Step 3: Cross multiply
    107,245x = 211,795 × 211,795
  4. Step 4: Simplify right side
    107,245x = 44,857,122,025
  5. Step 5: Solve for x
    x = 44,857,122,025/107,245
  6. Step 6: Final answer
    x = 418,267.72

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.