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Finding the Third Proportional to 298,988 and 449,742

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Solution

The third proportional to 298,988 and 449,742 is: 676,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,988 : 449,742 = 449,742 : x
  2. Step 2: Convert to fraction form
    298,988/449,742 = 449,742/x
  3. Step 3: Cross multiply
    298,988x = 449,742 × 449,742
  4. Step 4: Simplify right side
    298,988x = 202,267,866,564
  5. Step 5: Solve for x
    x = 202,267,866,564/298,988
  6. Step 6: Final answer
    x = 676,508.31

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