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Finding the Third Proportional to 318,861 and 699,923

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Solution

The third proportional to 318,861 and 699,923 is: 1,536,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,861 : 699,923 = 699,923 : x
  2. Step 2: Convert to fraction form
    318,861/699,923 = 699,923/x
  3. Step 3: Cross multiply
    318,861x = 699,923 × 699,923
  4. Step 4: Simplify right side
    318,861x = 489,892,205,929
  5. Step 5: Solve for x
    x = 489,892,205,929/318,861
  6. Step 6: Final answer
    x = 1,536,381.70

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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.