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Finding the Third Proportional to 231,000 and 311,436

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Solution

The third proportional to 231,000 and 311,436 is: 419,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,000 : 311,436 = 311,436 : x
  2. Step 2: Convert to fraction form
    231,000/311,436 = 311,436/x
  3. Step 3: Cross multiply
    231,000x = 311,436 × 311,436
  4. Step 4: Simplify right side
    231,000x = 96,992,382,096
  5. Step 5: Solve for x
    x = 96,992,382,096/231,000
  6. Step 6: Final answer
    x = 419,880.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.