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Finding the Third Proportional to 311,919 and 446,059

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Solution

The third proportional to 311,919 and 446,059 is: 637,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,919 : 446,059 = 446,059 : x
  2. Step 2: Convert to fraction form
    311,919/446,059 = 446,059/x
  3. Step 3: Cross multiply
    311,919x = 446,059 × 446,059
  4. Step 4: Simplify right side
    311,919x = 198,968,631,481
  5. Step 5: Solve for x
    x = 198,968,631,481/311,919
  6. Step 6: Final answer
    x = 637,885.58

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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.