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Finding the Third Proportional to 271,408.50 and 399,218.25

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Solution

The third proportional to 271,408.50 and 399,218.25 is: 587,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,408.50 : 399,218.25 = 399,218.25 : x
  2. Step 2: Convert to fraction form
    271,408.50/399,218.25 = 399,218.25/x
  3. Step 3: Cross multiply
    271,408.50x = 399,218.25 × 399,218.25
  4. Step 4: Simplify right side
    271,408.50x = 159,375,211,133.06
  5. Step 5: Solve for x
    x = 159,375,211,133.06/271,408.50
  6. Step 6: Final answer
    x = 587,215.25

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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.