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Finding the Third Proportional to 297,912 and 449,652

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Solution

The third proportional to 297,912 and 449,652 is: 678,680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,912 : 449,652 = 449,652 : x
  2. Step 2: Convert to fraction form
    297,912/449,652 = 449,652/x
  3. Step 3: Cross multiply
    297,912x = 449,652 × 449,652
  4. Step 4: Simplify right side
    297,912x = 202,186,921,104
  5. Step 5: Solve for x
    x = 202,186,921,104/297,912
  6. Step 6: Final answer
    x = 678,680.02

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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.