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Finding the Third Proportional to 276,380 and 414,489

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Solution

The third proportional to 276,380 and 414,489 is: 621,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,380 : 414,489 = 414,489 : x
  2. Step 2: Convert to fraction form
    276,380/414,489 = 414,489/x
  3. Step 3: Cross multiply
    276,380x = 414,489 × 414,489
  4. Step 4: Simplify right side
    276,380x = 171,801,131,121
  5. Step 5: Solve for x
    x = 171,801,131,121/276,380
  6. Step 6: Final answer
    x = 621,612.02

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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.