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Finding the Third Proportional to 353,738 and 763,498

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Solution

The third proportional to 353,738 and 763,498 is: 1,647,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,738 : 763,498 = 763,498 : x
  2. Step 2: Convert to fraction form
    353,738/763,498 = 763,498/x
  3. Step 3: Cross multiply
    353,738x = 763,498 × 763,498
  4. Step 4: Simplify right side
    353,738x = 582,929,196,004
  5. Step 5: Solve for x
    x = 582,929,196,004/353,738
  6. Step 6: Final answer
    x = 1,647,912.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.