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Finding the Third Proportional to 90,375.75 and 196,821.14

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Solution

The third proportional to 90,375.75 and 196,821.14 is: 428,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,375.75 : 196,821.14 = 196,821.14 : x
  2. Step 2: Convert to fraction form
    90,375.75/196,821.14 = 196,821.14/x
  3. Step 3: Cross multiply
    90,375.75x = 196,821.14 × 196,821.14
  4. Step 4: Simplify right side
    90,375.75x = 38,738,561,396.93
  5. Step 5: Solve for x
    x = 38,738,561,396.93/90,375.75
  6. Step 6: Final answer
    x = 428,638.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.