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Finding the Third Proportional to 304,190 and 678,256

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Solution

The third proportional to 304,190 and 678,256 is: 1,512,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,190 : 678,256 = 678,256 : x
  2. Step 2: Convert to fraction form
    304,190/678,256 = 678,256/x
  3. Step 3: Cross multiply
    304,190x = 678,256 × 678,256
  4. Step 4: Simplify right side
    304,190x = 460,031,201,536
  5. Step 5: Solve for x
    x = 460,031,201,536/304,190
  6. Step 6: Final answer
    x = 1,512,315.33

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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.