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Finding the Third Proportional to 394,380 and 591,378

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Solution

The third proportional to 394,380 and 591,378 is: 886,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,380 : 591,378 = 591,378 : x
  2. Step 2: Convert to fraction form
    394,380/591,378 = 591,378/x
  3. Step 3: Cross multiply
    394,380x = 591,378 × 591,378
  4. Step 4: Simplify right side
    394,380x = 349,727,938,884
  5. Step 5: Solve for x
    x = 349,727,938,884/394,380
  6. Step 6: Final answer
    x = 886,779.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.