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Finding the Third Proportional to 389,380 and 836,936

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Solution

The third proportional to 389,380 and 836,936 is: 1,798,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,380 : 836,936 = 836,936 : x
  2. Step 2: Convert to fraction form
    389,380/836,936 = 836,936/x
  3. Step 3: Cross multiply
    389,380x = 836,936 × 836,936
  4. Step 4: Simplify right side
    389,380x = 700,461,868,096
  5. Step 5: Solve for x
    x = 700,461,868,096/389,380
  6. Step 6: Final answer
    x = 1,798,915.89

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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.