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Finding the Third Proportional to 380,760.75 and 836,245.69

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Solution

The third proportional to 380,760.75 and 836,245.69 is: 1,836,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,760.75 : 836,245.69 = 836,245.69 : x
  2. Step 2: Convert to fraction form
    380,760.75/836,245.69 = 836,245.69/x
  3. Step 3: Cross multiply
    380,760.75x = 836,245.69 × 836,245.69
  4. Step 4: Simplify right side
    380,760.75x = 699,306,849,862.35
  5. Step 5: Solve for x
    x = 699,306,849,862.35/380,760.75
  6. Step 6: Final answer
    x = 1,836,604.35

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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.