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Finding the Third Proportional to 394,470 and 843,614

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Solution

The third proportional to 394,470 and 843,614 is: 1,804,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,470 : 843,614 = 843,614 : x
  2. Step 2: Convert to fraction form
    394,470/843,614 = 843,614/x
  3. Step 3: Cross multiply
    394,470x = 843,614 × 843,614
  4. Step 4: Simplify right side
    394,470x = 711,684,580,996
  5. Step 5: Solve for x
    x = 711,684,580,996/394,470
  6. Step 6: Final answer
    x = 1,804,153.88

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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.