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Finding the Third Proportional to 271,834 and 399,740

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Solution

The third proportional to 271,834 and 399,740 is: 587,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,834 : 399,740 = 399,740 : x
  2. Step 2: Convert to fraction form
    271,834/399,740 = 399,740/x
  3. Step 3: Cross multiply
    271,834x = 399,740 × 399,740
  4. Step 4: Simplify right side
    271,834x = 159,792,067,600
  5. Step 5: Solve for x
    x = 159,792,067,600/271,834
  6. Step 6: Final answer
    x = 587,829.59

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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.