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Finding the Third Proportional to 252,912.38 and 381,039.19

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Solution

The third proportional to 252,912.38 and 381,039.19 is: 574,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,912.38 : 381,039.19 = 381,039.19 : x
  2. Step 2: Convert to fraction form
    252,912.38/381,039.19 = 381,039.19/x
  3. Step 3: Cross multiply
    252,912.38x = 381,039.19 × 381,039.19
  4. Step 4: Simplify right side
    252,912.38x = 145,190,862,410.66
  5. Step 5: Solve for x
    x = 145,190,862,410.66/252,912.38
  6. Step 6: Final answer
    x = 574,075.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.