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Finding the Third Proportional to 300,605 and 450,079

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Solution

The third proportional to 300,605 and 450,079 is: 673,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,605 : 450,079 = 450,079 : x
  2. Step 2: Convert to fraction form
    300,605/450,079 = 450,079/x
  3. Step 3: Cross multiply
    300,605x = 450,079 × 450,079
  4. Step 4: Simplify right side
    300,605x = 202,571,106,241
  5. Step 5: Solve for x
    x = 202,571,106,241/300,605
  6. Step 6: Final answer
    x = 673,878.03

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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.