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Finding the Third Proportional to 271,299 and 399,108

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Solution

The third proportional to 271,299 and 399,108 is: 587,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,299 : 399,108 = 399,108 : x
  2. Step 2: Convert to fraction form
    271,299/399,108 = 399,108/x
  3. Step 3: Cross multiply
    271,299x = 399,108 × 399,108
  4. Step 4: Simplify right side
    271,299x = 159,287,195,664
  5. Step 5: Solve for x
    x = 159,287,195,664/271,299
  6. Step 6: Final answer
    x = 587,127.84

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