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Finding the Third Proportional to 252,938 and 381,075

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Solution

The third proportional to 252,938 and 381,075 is: 574,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,938 : 381,075 = 381,075 : x
  2. Step 2: Convert to fraction form
    252,938/381,075 = 381,075/x
  3. Step 3: Cross multiply
    252,938x = 381,075 × 381,075
  4. Step 4: Simplify right side
    252,938x = 145,218,155,625
  5. Step 5: Solve for x
    x = 145,218,155,625/252,938
  6. Step 6: Final answer
    x = 574,125.50

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Why These Related Problems?

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