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Finding the Third Proportional to 311,028 and 667,536

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Solution

The third proportional to 311,028 and 667,536 is: 1,432,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,028 : 667,536 = 667,536 : x
  2. Step 2: Convert to fraction form
    311,028/667,536 = 667,536/x
  3. Step 3: Cross multiply
    311,028x = 667,536 × 667,536
  4. Step 4: Simplify right side
    311,028x = 445,604,311,296
  5. Step 5: Solve for x
    x = 445,604,311,296/311,028
  6. Step 6: Final answer
    x = 1,432,682.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.