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Finding the Third Proportional to 389,209.50 and 836,622

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Solution

The third proportional to 389,209.50 and 836,622 is: 1,798,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,209.50 : 836,622 = 836,622 : x
  2. Step 2: Convert to fraction form
    389,209.50/836,622 = 836,622/x
  3. Step 3: Cross multiply
    389,209.50x = 836,622 × 836,622
  4. Step 4: Simplify right side
    389,209.50x = 699,936,370,884
  5. Step 5: Solve for x
    x = 699,936,370,884/389,209.50
  6. Step 6: Final answer
    x = 1,798,353.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.