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Finding the Third Proportional to 356,610 and 783,198

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Solution

The third proportional to 356,610 and 783,198 is: 1,720,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,610 : 783,198 = 783,198 : x
  2. Step 2: Convert to fraction form
    356,610/783,198 = 783,198/x
  3. Step 3: Cross multiply
    356,610x = 783,198 × 783,198
  4. Step 4: Simplify right side
    356,610x = 613,399,107,204
  5. Step 5: Solve for x
    x = 613,399,107,204/356,610
  6. Step 6: Final answer
    x = 1,720,083.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.