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Finding the Third Proportional to 361,997 and 779,230

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Solution

The third proportional to 361,997 and 779,230 is: 1,677,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,997 : 779,230 = 779,230 : x
  2. Step 2: Convert to fraction form
    361,997/779,230 = 779,230/x
  3. Step 3: Cross multiply
    361,997x = 779,230 × 779,230
  4. Step 4: Simplify right side
    361,997x = 607,199,392,900
  5. Step 5: Solve for x
    x = 607,199,392,900/361,997
  6. Step 6: Final answer
    x = 1,677,360.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.