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Finding the Third Proportional to 329,380 and 670,424

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Solution

The third proportional to 329,380 and 670,424 is: 1,364,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,380 : 670,424 = 670,424 : x
  2. Step 2: Convert to fraction form
    329,380/670,424 = 670,424/x
  3. Step 3: Cross multiply
    329,380x = 670,424 × 670,424
  4. Step 4: Simplify right side
    329,380x = 449,468,339,776
  5. Step 5: Solve for x
    x = 449,468,339,776/329,380
  6. Step 6: Final answer
    x = 1,364,589.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.