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Finding the Third Proportional to 394,580 and 618,314

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Solution

The third proportional to 394,580 and 618,314 is: 968,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,580 : 618,314 = 618,314 : x
  2. Step 2: Convert to fraction form
    394,580/618,314 = 618,314/x
  3. Step 3: Cross multiply
    394,580x = 618,314 × 618,314
  4. Step 4: Simplify right side
    394,580x = 382,312,202,596
  5. Step 5: Solve for x
    x = 382,312,202,596/394,580
  6. Step 6: Final answer
    x = 968,909.23

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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.