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Finding the Third Proportional to 311,778 and 445,867

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Solution

The third proportional to 311,778 and 445,867 is: 637,624.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,778 : 445,867 = 445,867 : x
  2. Step 2: Convert to fraction form
    311,778/445,867 = 445,867/x
  3. Step 3: Cross multiply
    311,778x = 445,867 × 445,867
  4. Step 4: Simplify right side
    311,778x = 198,797,381,689
  5. Step 5: Solve for x
    x = 198,797,381,689/311,778
  6. Step 6: Final answer
    x = 637,624.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.