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Finding the Third Proportional to 180,928 and 396,416

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Solution

The third proportional to 180,928 and 396,416 is: 868,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,928 : 396,416 = 396,416 : x
  2. Step 2: Convert to fraction form
    180,928/396,416 = 396,416/x
  3. Step 3: Cross multiply
    180,928x = 396,416 × 396,416
  4. Step 4: Simplify right side
    180,928x = 157,145,645,056
  5. Step 5: Solve for x
    x = 157,145,645,056/180,928
  6. Step 6: Final answer
    x = 868,553.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.