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Finding the Third Proportional to 300,228.75 and 659,506.25

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Solution

The third proportional to 300,228.75 and 659,506.25 is: 1,448,723.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,228.75 : 659,506.25 = 659,506.25 : x
  2. Step 2: Convert to fraction form
    300,228.75/659,506.25 = 659,506.25/x
  3. Step 3: Cross multiply
    300,228.75x = 659,506.25 × 659,506.25
  4. Step 4: Simplify right side
    300,228.75x = 434,948,493,789.06
  5. Step 5: Solve for x
    x = 434,948,493,789.06/300,228.75
  6. Step 6: Final answer
    x = 1,448,723.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.