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Finding the Third Proportional to 271,605 and 399,084

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Solution

The third proportional to 271,605 and 399,084 is: 586,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,605 : 399,084 = 399,084 : x
  2. Step 2: Convert to fraction form
    271,605/399,084 = 399,084/x
  3. Step 3: Cross multiply
    271,605x = 399,084 × 399,084
  4. Step 4: Simplify right side
    271,605x = 159,268,039,056
  5. Step 5: Solve for x
    x = 159,268,039,056/271,605
  6. Step 6: Final answer
    x = 586,395.83

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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.