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Finding the Third Proportional to 391,830.75 and 800,266

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Solution

The third proportional to 391,830.75 and 800,266 is: 1,634,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,830.75 : 800,266 = 800,266 : x
  2. Step 2: Convert to fraction form
    391,830.75/800,266 = 800,266/x
  3. Step 3: Cross multiply
    391,830.75x = 800,266 × 800,266
  4. Step 4: Simplify right side
    391,830.75x = 640,425,670,756
  5. Step 5: Solve for x
    x = 640,425,670,756/391,830.75
  6. Step 6: Final answer
    x = 1,634,444.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.