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Finding the Third Proportional to 493,451 and 743,821

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Solution

The third proportional to 493,451 and 743,821 is: 1,121,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,451 : 743,821 = 743,821 : x
  2. Step 2: Convert to fraction form
    493,451/743,821 = 743,821/x
  3. Step 3: Cross multiply
    493,451x = 743,821 × 743,821
  4. Step 4: Simplify right side
    493,451x = 553,269,680,041
  5. Step 5: Solve for x
    x = 553,269,680,041/493,451
  6. Step 6: Final answer
    x = 1,121,225.17

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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.