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Finding the Third Proportional to 298,992 and 449,748

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Solution

The third proportional to 298,992 and 449,748 is: 676,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,992 : 449,748 = 449,748 : x
  2. Step 2: Convert to fraction form
    298,992/449,748 = 449,748/x
  3. Step 3: Cross multiply
    298,992x = 449,748 × 449,748
  4. Step 4: Simplify right side
    298,992x = 202,273,263,504
  5. Step 5: Solve for x
    x = 202,273,263,504/298,992
  6. Step 6: Final answer
    x = 676,517.31

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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.