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Finding the Third Proportional to 313,456 and 674,048

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Solution

The third proportional to 313,456 and 674,048 is: 1,449,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,456 : 674,048 = 674,048 : x
  2. Step 2: Convert to fraction form
    313,456/674,048 = 674,048/x
  3. Step 3: Cross multiply
    313,456x = 674,048 × 674,048
  4. Step 4: Simplify right side
    313,456x = 454,340,706,304
  5. Step 5: Solve for x
    x = 454,340,706,304/313,456
  6. Step 6: Final answer
    x = 1,449,456.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.