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Finding the Third Proportional to 493,453 and 743,824

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Solution

The third proportional to 493,453 and 743,824 is: 1,121,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,453 : 743,824 = 743,824 : x
  2. Step 2: Convert to fraction form
    493,453/743,824 = 743,824/x
  3. Step 3: Cross multiply
    493,453x = 743,824 × 743,824
  4. Step 4: Simplify right side
    493,453x = 553,274,142,976
  5. Step 5: Solve for x
    x = 553,274,142,976/493,453
  6. Step 6: Final answer
    x = 1,121,229.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.