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Finding the Third Proportional to 394,578 and 618,311

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Solution

The third proportional to 394,578 and 618,311 is: 968,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,578 : 618,311 = 618,311 : x
  2. Step 2: Convert to fraction form
    394,578/618,311 = 618,311/x
  3. Step 3: Cross multiply
    394,578x = 618,311 × 618,311
  4. Step 4: Simplify right side
    394,578x = 382,308,492,721
  5. Step 5: Solve for x
    x = 382,308,492,721/394,578
  6. Step 6: Final answer
    x = 968,904.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.