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Finding the Third Proportional to 354,682 and 778,268

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Solution

The third proportional to 354,682 and 778,268 is: 1,707,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,682 : 778,268 = 778,268 : x
  2. Step 2: Convert to fraction form
    354,682/778,268 = 778,268/x
  3. Step 3: Cross multiply
    354,682x = 778,268 × 778,268
  4. Step 4: Simplify right side
    354,682x = 605,701,079,824
  5. Step 5: Solve for x
    x = 605,701,079,824/354,682
  6. Step 6: Final answer
    x = 1,707,729.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.