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Finding the Third Proportional to 311,028 and 449,559

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Solution

The third proportional to 311,028 and 449,559 is: 649,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,028 : 449,559 = 449,559 : x
  2. Step 2: Convert to fraction form
    311,028/449,559 = 449,559/x
  3. Step 3: Cross multiply
    311,028x = 449,559 × 449,559
  4. Step 4: Simplify right side
    311,028x = 202,103,294,481
  5. Step 5: Solve for x
    x = 202,103,294,481/311,028
  6. Step 6: Final answer
    x = 649,791.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.