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Finding the Third Proportional to 380,811.50 and 836,356

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Solution

The third proportional to 380,811.50 and 836,356 is: 1,836,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,811.50 : 836,356 = 836,356 : x
  2. Step 2: Convert to fraction form
    380,811.50/836,356 = 836,356/x
  3. Step 3: Cross multiply
    380,811.50x = 836,356 × 836,356
  4. Step 4: Simplify right side
    380,811.50x = 699,491,358,736
  5. Step 5: Solve for x
    x = 699,491,358,736/380,811.50
  6. Step 6: Final answer
    x = 1,836,844.10

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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.