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Finding the Third Proportional to 366,981 and 778,067

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Solution

The third proportional to 366,981 and 778,067 is: 1,649,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,981 : 778,067 = 778,067 : x
  2. Step 2: Convert to fraction form
    366,981/778,067 = 778,067/x
  3. Step 3: Cross multiply
    366,981x = 778,067 × 778,067
  4. Step 4: Simplify right side
    366,981x = 605,388,256,489
  5. Step 5: Solve for x
    x = 605,388,256,489/366,981
  6. Step 6: Final answer
    x = 1,649,644.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.