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Finding the Third Proportional to 380,779 and 836,296

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Solution

The third proportional to 380,779 and 836,296 is: 1,836,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,779 : 836,296 = 836,296 : x
  2. Step 2: Convert to fraction form
    380,779/836,296 = 836,296/x
  3. Step 3: Cross multiply
    380,779x = 836,296 × 836,296
  4. Step 4: Simplify right side
    380,779x = 699,390,999,616
  5. Step 5: Solve for x
    x = 699,390,999,616/380,779
  6. Step 6: Final answer
    x = 1,836,737.32

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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.