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Finding the Third Proportional to 393,965 and 611,198

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Solution

The third proportional to 393,965 and 611,198 is: 948,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,965 : 611,198 = 611,198 : x
  2. Step 2: Convert to fraction form
    393,965/611,198 = 611,198/x
  3. Step 3: Cross multiply
    393,965x = 611,198 × 611,198
  4. Step 4: Simplify right side
    393,965x = 373,562,995,204
  5. Step 5: Solve for x
    x = 373,562,995,204/393,965
  6. Step 6: Final answer
    x = 948,213.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.