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Finding the Third Proportional to 297,621 and 449,115

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Solution

The third proportional to 297,621 and 449,115 is: 677,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,621 : 449,115 = 449,115 : x
  2. Step 2: Convert to fraction form
    297,621/449,115 = 449,115/x
  3. Step 3: Cross multiply
    297,621x = 449,115 × 449,115
  4. Step 4: Simplify right side
    297,621x = 201,704,283,225
  5. Step 5: Solve for x
    x = 201,704,283,225/297,621
  6. Step 6: Final answer
    x = 677,721.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.