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Finding the Third Proportional to 418,108 and 628,104

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Solution

The third proportional to 418,108 and 628,104 is: 943,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,108 : 628,104 = 628,104 : x
  2. Step 2: Convert to fraction form
    418,108/628,104 = 628,104/x
  3. Step 3: Cross multiply
    418,108x = 628,104 × 628,104
  4. Step 4: Simplify right side
    418,108x = 394,514,634,816
  5. Step 5: Solve for x
    x = 394,514,634,816/418,108
  6. Step 6: Final answer
    x = 943,571.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.