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Finding the Third Proportional to 353,606 and 763,223

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Solution

The third proportional to 353,606 and 763,223 is: 1,647,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,606 : 763,223 = 763,223 : x
  2. Step 2: Convert to fraction form
    353,606/763,223 = 763,223/x
  3. Step 3: Cross multiply
    353,606x = 763,223 × 763,223
  4. Step 4: Simplify right side
    353,606x = 582,509,347,729
  5. Step 5: Solve for x
    x = 582,509,347,729/353,606
  6. Step 6: Final answer
    x = 1,647,340.11

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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.