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Finding the Third Proportional to 380,535 and 819,930

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Solution

The third proportional to 380,535 and 819,930 is: 1,766,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,535 : 819,930 = 819,930 : x
  2. Step 2: Convert to fraction form
    380,535/819,930 = 819,930/x
  3. Step 3: Cross multiply
    380,535x = 819,930 × 819,930
  4. Step 4: Simplify right side
    380,535x = 672,285,204,900
  5. Step 5: Solve for x
    x = 672,285,204,900/380,535
  6. Step 6: Final answer
    x = 1,766,684.29

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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.