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Finding the Third Proportional to 90,481.50 and 198,805.50

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Solution

The third proportional to 90,481.50 and 198,805.50 is: 436,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,481.50 : 198,805.50 = 198,805.50 : x
  2. Step 2: Convert to fraction form
    90,481.50/198,805.50 = 198,805.50/x
  3. Step 3: Cross multiply
    90,481.50x = 198,805.50 × 198,805.50
  4. Step 4: Simplify right side
    90,481.50x = 39,523,626,830.25
  5. Step 5: Solve for x
    x = 39,523,626,830.25/90,481.50
  6. Step 6: Final answer
    x = 436,814.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.