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Finding the Third Proportional to 271,679 and 399,193

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Solution

The third proportional to 271,679 and 399,193 is: 586,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,679 : 399,193 = 399,193 : x
  2. Step 2: Convert to fraction form
    271,679/399,193 = 399,193/x
  3. Step 3: Cross multiply
    271,679x = 399,193 × 399,193
  4. Step 4: Simplify right side
    271,679x = 159,355,051,249
  5. Step 5: Solve for x
    x = 159,355,051,249/271,679
  6. Step 6: Final answer
    x = 586,556.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.