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Finding the Third Proportional to 271,305 and 399,114

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Solution

The third proportional to 271,305 and 399,114 is: 587,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,305 : 399,114 = 399,114 : x
  2. Step 2: Convert to fraction form
    271,305/399,114 = 399,114/x
  3. Step 3: Cross multiply
    271,305x = 399,114 × 399,114
  4. Step 4: Simplify right side
    271,305x = 159,291,984,996
  5. Step 5: Solve for x
    x = 159,291,984,996/271,305
  6. Step 6: Final answer
    x = 587,132.51

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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.