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Finding the Third Proportional to 394,366 and 860,804

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Solution

The third proportional to 394,366 and 860,804 is: 1,878,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,366 : 860,804 = 860,804 : x
  2. Step 2: Convert to fraction form
    394,366/860,804 = 860,804/x
  3. Step 3: Cross multiply
    394,366x = 860,804 × 860,804
  4. Step 4: Simplify right side
    394,366x = 740,983,526,416
  5. Step 5: Solve for x
    x = 740,983,526,416/394,366
  6. Step 6: Final answer
    x = 1,878,923.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.