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Finding the Third Proportional to 306,738 and 628,348

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Solution

The third proportional to 306,738 and 628,348 is: 1,287,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,738 : 628,348 = 628,348 : x
  2. Step 2: Convert to fraction form
    306,738/628,348 = 628,348/x
  3. Step 3: Cross multiply
    306,738x = 628,348 × 628,348
  4. Step 4: Simplify right side
    306,738x = 394,821,209,104
  5. Step 5: Solve for x
    x = 394,821,209,104/306,738
  6. Step 6: Final answer
    x = 1,287,161.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.