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Finding the Third Proportional to 215,041 and 300,765

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Solution

The third proportional to 215,041 and 300,765 is: 420,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,041 : 300,765 = 300,765 : x
  2. Step 2: Convert to fraction form
    215,041/300,765 = 300,765/x
  3. Step 3: Cross multiply
    215,041x = 300,765 × 300,765
  4. Step 4: Simplify right side
    215,041x = 90,459,585,225
  5. Step 5: Solve for x
    x = 90,459,585,225/215,041
  6. Step 6: Final answer
    x = 420,662.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.