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Finding the Third Proportional to 297,894 and 449,621

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Solution

The third proportional to 297,894 and 449,621 is: 678,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,894 : 449,621 = 449,621 : x
  2. Step 2: Convert to fraction form
    297,894/449,621 = 449,621/x
  3. Step 3: Cross multiply
    297,894x = 449,621 × 449,621
  4. Step 4: Simplify right side
    297,894x = 202,159,043,641
  5. Step 5: Solve for x
    x = 202,159,043,641/297,894
  6. Step 6: Final answer
    x = 678,627.44

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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.