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Finding the Third Proportional to 318,578 and 694,180

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Solution

The third proportional to 318,578 and 694,180 is: 1,512,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,578 : 694,180 = 694,180 : x
  2. Step 2: Convert to fraction form
    318,578/694,180 = 694,180/x
  3. Step 3: Cross multiply
    318,578x = 694,180 × 694,180
  4. Step 4: Simplify right side
    318,578x = 481,885,872,400
  5. Step 5: Solve for x
    x = 481,885,872,400/318,578
  6. Step 6: Final answer
    x = 1,512,615.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.