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Finding the Third Proportional to 90,512 and 198,520

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Solution

The third proportional to 90,512 and 198,520 is: 435,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,512 : 198,520 = 198,520 : x
  2. Step 2: Convert to fraction form
    90,512/198,520 = 198,520/x
  3. Step 3: Cross multiply
    90,512x = 198,520 × 198,520
  4. Step 4: Simplify right side
    90,512x = 39,410,190,400
  5. Step 5: Solve for x
    x = 39,410,190,400/90,512
  6. Step 6: Final answer
    x = 435,413.98

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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.