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Finding the Third Proportional to 191,380 and 396,584

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Solution

The third proportional to 191,380 and 396,584 is: 821,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,380 : 396,584 = 396,584 : x
  2. Step 2: Convert to fraction form
    191,380/396,584 = 396,584/x
  3. Step 3: Cross multiply
    191,380x = 396,584 × 396,584
  4. Step 4: Simplify right side
    191,380x = 157,278,869,056
  5. Step 5: Solve for x
    x = 157,278,869,056/191,380
  6. Step 6: Final answer
    x = 821,814.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.