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Finding the Third Proportional to 300,231 and 659,511

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Solution

The third proportional to 300,231 and 659,511 is: 1,448,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,231 : 659,511 = 659,511 : x
  2. Step 2: Convert to fraction form
    300,231/659,511 = 659,511/x
  3. Step 3: Cross multiply
    300,231x = 659,511 × 659,511
  4. Step 4: Simplify right side
    300,231x = 434,954,759,121
  5. Step 5: Solve for x
    x = 434,954,759,121/300,231
  6. Step 6: Final answer
    x = 1,448,733.67

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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.