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Finding the Third Proportional to 397,873.50 and 775,443

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Solution

The third proportional to 397,873.50 and 775,443 is: 1,511,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,873.50 : 775,443 = 775,443 : x
  2. Step 2: Convert to fraction form
    397,873.50/775,443 = 775,443/x
  3. Step 3: Cross multiply
    397,873.50x = 775,443 × 775,443
  4. Step 4: Simplify right side
    397,873.50x = 601,311,846,249
  5. Step 5: Solve for x
    x = 601,311,846,249/397,873.50
  6. Step 6: Final answer
    x = 1,511,314.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.