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Finding the Third Proportional to 304,479 and 667,278

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Solution

The third proportional to 304,479 and 667,278 is: 1,462,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,479 : 667,278 = 667,278 : x
  2. Step 2: Convert to fraction form
    304,479/667,278 = 667,278/x
  3. Step 3: Cross multiply
    304,479x = 667,278 × 667,278
  4. Step 4: Simplify right side
    304,479x = 445,259,929,284
  5. Step 5: Solve for x
    x = 445,259,929,284/304,479
  6. Step 6: Final answer
    x = 1,462,366.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.