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Finding the Third Proportional to 330,634 and 675,278

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Solution

The third proportional to 330,634 and 675,278 is: 1,379,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,634 : 675,278 = 675,278 : x
  2. Step 2: Convert to fraction form
    330,634/675,278 = 675,278/x
  3. Step 3: Cross multiply
    330,634x = 675,278 × 675,278
  4. Step 4: Simplify right side
    330,634x = 456,000,377,284
  5. Step 5: Solve for x
    x = 456,000,377,284/330,634
  6. Step 6: Final answer
    x = 1,379,169.65

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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.