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Finding the Third Proportional to 318,048 and 674,016

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Solution

The third proportional to 318,048 and 674,016 is: 1,428,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,048 : 674,016 = 674,016 : x
  2. Step 2: Convert to fraction form
    318,048/674,016 = 674,016/x
  3. Step 3: Cross multiply
    318,048x = 674,016 × 674,016
  4. Step 4: Simplify right side
    318,048x = 454,297,568,256
  5. Step 5: Solve for x
    x = 454,297,568,256/318,048
  6. Step 6: Final answer
    x = 1,428,393.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.