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Finding the Third Proportional to 306,720 and 449,766

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Solution

The third proportional to 306,720 and 449,766 is: 659,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,720 : 449,766 = 449,766 : x
  2. Step 2: Convert to fraction form
    306,720/449,766 = 449,766/x
  3. Step 3: Cross multiply
    306,720x = 449,766 × 449,766
  4. Step 4: Simplify right side
    306,720x = 202,289,454,756
  5. Step 5: Solve for x
    x = 202,289,454,756/306,720
  6. Step 6: Final answer
    x = 659,524.83

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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.