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Finding the Third Proportional to 271,300 and 399,110

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Solution

The third proportional to 271,300 and 399,110 is: 587,131.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,300 : 399,110 = 399,110 : x
  2. Step 2: Convert to fraction form
    271,300/399,110 = 399,110/x
  3. Step 3: Cross multiply
    271,300x = 399,110 × 399,110
  4. Step 4: Simplify right side
    271,300x = 159,288,792,100
  5. Step 5: Solve for x
    x = 159,288,792,100/271,300
  6. Step 6: Final answer
    x = 587,131.56

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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.