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Finding the Third Proportional to 309,228 and 441,018

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Solution

The third proportional to 309,228 and 441,018 is: 628,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,228 : 441,018 = 441,018 : x
  2. Step 2: Convert to fraction form
    309,228/441,018 = 441,018/x
  3. Step 3: Cross multiply
    309,228x = 441,018 × 441,018
  4. Step 4: Simplify right side
    309,228x = 194,496,876,324
  5. Step 5: Solve for x
    x = 194,496,876,324/309,228
  6. Step 6: Final answer
    x = 628,975.63

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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.