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Finding the Third Proportional to 271,399.50 and 398,974.50

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Solution

The third proportional to 271,399.50 and 398,974.50 is: 586,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,399.50 : 398,974.50 = 398,974.50 : x
  2. Step 2: Convert to fraction form
    271,399.50/398,974.50 = 398,974.50/x
  3. Step 3: Cross multiply
    271,399.50x = 398,974.50 × 398,974.50
  4. Step 4: Simplify right side
    271,399.50x = 159,180,651,650.25
  5. Step 5: Solve for x
    x = 159,180,651,650.25/271,399.50
  6. Step 6: Final answer
    x = 586,517.85

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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.