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Finding the Third Proportional to 274,848 and 412,912

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Solution

The third proportional to 274,848 and 412,912 is: 620,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,848 : 412,912 = 412,912 : x
  2. Step 2: Convert to fraction form
    274,848/412,912 = 412,912/x
  3. Step 3: Cross multiply
    274,848x = 412,912 × 412,912
  4. Step 4: Simplify right side
    274,848x = 170,496,319,744
  5. Step 5: Solve for x
    x = 170,496,319,744/274,848
  6. Step 6: Final answer
    x = 620,329.49

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Why These Related Problems?

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