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Finding the Third Proportional to 493,834 and 699,231

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Solution

The third proportional to 493,834 and 699,231 is: 990,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,834 : 699,231 = 699,231 : x
  2. Step 2: Convert to fraction form
    493,834/699,231 = 699,231/x
  3. Step 3: Cross multiply
    493,834x = 699,231 × 699,231
  4. Step 4: Simplify right side
    493,834x = 488,923,991,361
  5. Step 5: Solve for x
    x = 488,923,991,361/493,834
  6. Step 6: Final answer
    x = 990,057.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.