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Finding the Third Proportional to 300,339 and 449,617.50

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Solution

The third proportional to 300,339 and 449,617.50 is: 673,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,339 : 449,617.50 = 449,617.50 : x
  2. Step 2: Convert to fraction form
    300,339/449,617.50 = 449,617.50/x
  3. Step 3: Cross multiply
    300,339x = 449,617.50 × 449,617.50
  4. Step 4: Simplify right side
    300,339x = 202,155,896,306.25
  5. Step 5: Solve for x
    x = 202,155,896,306.25/300,339
  6. Step 6: Final answer
    x = 673,092.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.