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Finding the Third Proportional to 304,257 and 678,474

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Solution

The third proportional to 304,257 and 678,474 is: 1,512,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,257 : 678,474 = 678,474 : x
  2. Step 2: Convert to fraction form
    304,257/678,474 = 678,474/x
  3. Step 3: Cross multiply
    304,257x = 678,474 × 678,474
  4. Step 4: Simplify right side
    304,257x = 460,326,968,676
  5. Step 5: Solve for x
    x = 460,326,968,676/304,257
  6. Step 6: Final answer
    x = 1,512,954.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.