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Finding the Third Proportional to 300,629 and 449,484

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Solution

The third proportional to 300,629 and 449,484 is: 672,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,629 : 449,484 = 449,484 : x
  2. Step 2: Convert to fraction form
    300,629/449,484 = 449,484/x
  3. Step 3: Cross multiply
    300,629x = 449,484 × 449,484
  4. Step 4: Simplify right side
    300,629x = 202,035,866,256
  5. Step 5: Solve for x
    x = 202,035,866,256/300,629
  6. Step 6: Final answer
    x = 672,043.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.