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Finding the Third Proportional to 394,468 and 843,610

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Solution

The third proportional to 394,468 and 843,610 is: 1,804,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,468 : 843,610 = 843,610 : x
  2. Step 2: Convert to fraction form
    394,468/843,610 = 843,610/x
  3. Step 3: Cross multiply
    394,468x = 843,610 × 843,610
  4. Step 4: Simplify right side
    394,468x = 711,677,832,100
  5. Step 5: Solve for x
    x = 711,677,832,100/394,468
  6. Step 6: Final answer
    x = 1,804,145.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.