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Finding the Third Proportional to 271,311.75 and 398,847.38

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Solution

The third proportional to 271,311.75 and 398,847.38 is: 586,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,311.75 : 398,847.38 = 398,847.38 : x
  2. Step 2: Convert to fraction form
    271,311.75/398,847.38 = 398,847.38/x
  3. Step 3: Cross multiply
    271,311.75x = 398,847.38 × 398,847.38
  4. Step 4: Simplify right side
    271,311.75x = 159,079,228,544.39
  5. Step 5: Solve for x
    x = 159,079,228,544.39/271,311.75
  6. Step 6: Final answer
    x = 586,333.72

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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.