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Finding the Third Proportional to 107,318 and 211,932

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Solution

The third proportional to 107,318 and 211,932 is: 418,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,318 : 211,932 = 211,932 : x
  2. Step 2: Convert to fraction form
    107,318/211,932 = 211,932/x
  3. Step 3: Cross multiply
    107,318x = 211,932 × 211,932
  4. Step 4: Simplify right side
    107,318x = 44,915,172,624
  5. Step 5: Solve for x
    x = 44,915,172,624/107,318
  6. Step 6: Final answer
    x = 418,524.13

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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.