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Finding the Third Proportional to 271,808 and 399,723

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Solution

The third proportional to 271,808 and 399,723 is: 587,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,808 : 399,723 = 399,723 : x
  2. Step 2: Convert to fraction form
    271,808/399,723 = 399,723/x
  3. Step 3: Cross multiply
    271,808x = 399,723 × 399,723
  4. Step 4: Simplify right side
    271,808x = 159,778,476,729
  5. Step 5: Solve for x
    x = 159,778,476,729/271,808
  6. Step 6: Final answer
    x = 587,835.81

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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.