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Finding the Third Proportional to 276,912 and 414,907

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Solution

The third proportional to 276,912 and 414,907 is: 621,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,912 : 414,907 = 414,907 : x
  2. Step 2: Convert to fraction form
    276,912/414,907 = 414,907/x
  3. Step 3: Cross multiply
    276,912x = 414,907 × 414,907
  4. Step 4: Simplify right side
    276,912x = 172,147,818,649
  5. Step 5: Solve for x
    x = 172,147,818,649/276,912
  6. Step 6: Final answer
    x = 621,669.77

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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.