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Finding the Third Proportional to 297,646 and 449,238

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Solution

The third proportional to 297,646 and 449,238 is: 678,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,646 : 449,238 = 449,238 : x
  2. Step 2: Convert to fraction form
    297,646/449,238 = 449,238/x
  3. Step 3: Cross multiply
    297,646x = 449,238 × 449,238
  4. Step 4: Simplify right side
    297,646x = 201,814,780,644
  5. Step 5: Solve for x
    x = 201,814,780,644/297,646
  6. Step 6: Final answer
    x = 678,036.26

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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.