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Finding the Third Proportional to 300,799 and 449,678

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Solution

The third proportional to 300,799 and 449,678 is: 672,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,799 : 449,678 = 449,678 : x
  2. Step 2: Convert to fraction form
    300,799/449,678 = 449,678/x
  3. Step 3: Cross multiply
    300,799x = 449,678 × 449,678
  4. Step 4: Simplify right side
    300,799x = 202,210,303,684
  5. Step 5: Solve for x
    x = 202,210,303,684/300,799
  6. Step 6: Final answer
    x = 672,243.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.