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Finding the Third Proportional to 387,779 and 820,268

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Solution

The third proportional to 387,779 and 820,268 is: 1,735,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,779 : 820,268 = 820,268 : x
  2. Step 2: Convert to fraction form
    387,779/820,268 = 820,268/x
  3. Step 3: Cross multiply
    387,779x = 820,268 × 820,268
  4. Step 4: Simplify right side
    387,779x = 672,839,591,824
  5. Step 5: Solve for x
    x = 672,839,591,824/387,779
  6. Step 6: Final answer
    x = 1,735,110.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.