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Finding the Third Proportional to 317,978 and 445,673

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Solution

The third proportional to 317,978 and 445,673 is: 624,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,978 : 445,673 = 445,673 : x
  2. Step 2: Convert to fraction form
    317,978/445,673 = 445,673/x
  3. Step 3: Cross multiply
    317,978x = 445,673 × 445,673
  4. Step 4: Simplify right side
    317,978x = 198,624,422,929
  5. Step 5: Solve for x
    x = 198,624,422,929/317,978
  6. Step 6: Final answer
    x = 624,648.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.