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Finding the Third Proportional to 389,224.50 and 836,661

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Solution

The third proportional to 389,224.50 and 836,661 is: 1,798,452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,224.50 : 836,661 = 836,661 : x
  2. Step 2: Convert to fraction form
    389,224.50/836,661 = 836,661/x
  3. Step 3: Cross multiply
    389,224.50x = 836,661 × 836,661
  4. Step 4: Simplify right side
    389,224.50x = 700,001,628,921
  5. Step 5: Solve for x
    x = 700,001,628,921/389,224.50
  6. Step 6: Final answer
    x = 1,798,452.12

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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.