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Finding the Third Proportional to 394,095 and 819,642

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Solution

The third proportional to 394,095 and 819,642 is: 1,704,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,095 : 819,642 = 819,642 : x
  2. Step 2: Convert to fraction form
    394,095/819,642 = 819,642/x
  3. Step 3: Cross multiply
    394,095x = 819,642 × 819,642
  4. Step 4: Simplify right side
    394,095x = 671,813,008,164
  5. Step 5: Solve for x
    x = 671,813,008,164/394,095
  6. Step 6: Final answer
    x = 1,704,698.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.