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Finding the Third Proportional to 380,783.53 and 836,289.56

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Solution

The third proportional to 380,783.53 and 836,289.56 is: 1,836,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,783.53 : 836,289.56 = 836,289.56 : x
  2. Step 2: Convert to fraction form
    380,783.53/836,289.56 = 836,289.56/x
  3. Step 3: Cross multiply
    380,783.53x = 836,289.56 × 836,289.56
  4. Step 4: Simplify right side
    380,783.53x = 699,380,232,346.44
  5. Step 5: Solve for x
    x = 699,380,232,346.44/380,783.53
  6. Step 6: Final answer
    x = 1,836,687.19

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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.