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Finding the Third Proportional to 300,492 and 449,798

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Solution

The third proportional to 300,492 and 449,798 is: 673,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,492 : 449,798 = 449,798 : x
  2. Step 2: Convert to fraction form
    300,492/449,798 = 449,798/x
  3. Step 3: Cross multiply
    300,492x = 449,798 × 449,798
  4. Step 4: Simplify right side
    300,492x = 202,318,240,804
  5. Step 5: Solve for x
    x = 202,318,240,804/300,492
  6. Step 6: Final answer
    x = 673,289.94

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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.