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Finding the Third Proportional to 300,528 and 449,856

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Solution

The third proportional to 300,528 and 449,856 is: 673,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,528 : 449,856 = 449,856 : x
  2. Step 2: Convert to fraction form
    300,528/449,856 = 449,856/x
  3. Step 3: Cross multiply
    300,528x = 449,856 × 449,856
  4. Step 4: Simplify right side
    300,528x = 202,370,420,736
  5. Step 5: Solve for x
    x = 202,370,420,736/300,528
  6. Step 6: Final answer
    x = 673,382.92

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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.