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Finding the Third Proportional to 394,584 and 618,320

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Solution

The third proportional to 394,584 and 618,320 is: 968,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,584 : 618,320 = 618,320 : x
  2. Step 2: Convert to fraction form
    394,584/618,320 = 618,320/x
  3. Step 3: Cross multiply
    394,584x = 618,320 × 618,320
  4. Step 4: Simplify right side
    394,584x = 382,319,622,400
  5. Step 5: Solve for x
    x = 382,319,622,400/394,584
  6. Step 6: Final answer
    x = 968,918.21

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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.