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Finding the Third Proportional to 332,940 and 733,742

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Solution

The third proportional to 332,940 and 733,742 is: 1,617,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,940 : 733,742 = 733,742 : x
  2. Step 2: Convert to fraction form
    332,940/733,742 = 733,742/x
  3. Step 3: Cross multiply
    332,940x = 733,742 × 733,742
  4. Step 4: Simplify right side
    332,940x = 538,377,322,564
  5. Step 5: Solve for x
    x = 538,377,322,564/332,940
  6. Step 6: Final answer
    x = 1,617,040.07

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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.