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Finding the Third Proportional to 279,712 and 419,760

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Solution

The third proportional to 279,712 and 419,760 is: 629,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,712 : 419,760 = 419,760 : x
  2. Step 2: Convert to fraction form
    279,712/419,760 = 419,760/x
  3. Step 3: Cross multiply
    279,712x = 419,760 × 419,760
  4. Step 4: Simplify right side
    279,712x = 176,198,457,600
  5. Step 5: Solve for x
    x = 176,198,457,600/279,712
  6. Step 6: Final answer
    x = 629,928.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.