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Finding the Third Proportional to 320,450 and 741,821

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Solution

The third proportional to 320,450 and 741,821 is: 1,717,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,450 : 741,821 = 741,821 : x
  2. Step 2: Convert to fraction form
    320,450/741,821 = 741,821/x
  3. Step 3: Cross multiply
    320,450x = 741,821 × 741,821
  4. Step 4: Simplify right side
    320,450x = 550,298,396,041
  5. Step 5: Solve for x
    x = 550,298,396,041/320,450
  6. Step 6: Final answer
    x = 1,717,267.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.