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Finding the Third Proportional to 394,161 and 864,623

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Solution

The third proportional to 394,161 and 864,623 is: 1,896,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,161 : 864,623 = 864,623 : x
  2. Step 2: Convert to fraction form
    394,161/864,623 = 864,623/x
  3. Step 3: Cross multiply
    394,161x = 864,623 × 864,623
  4. Step 4: Simplify right side
    394,161x = 747,572,932,129
  5. Step 5: Solve for x
    x = 747,572,932,129/394,161
  6. Step 6: Final answer
    x = 1,896,618.21

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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.