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Finding the Third Proportional to 380,879 and 819,879

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Solution

The third proportional to 380,879 and 819,879 is: 1,764,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,879 : 819,879 = 819,879 : x
  2. Step 2: Convert to fraction form
    380,879/819,879 = 819,879/x
  3. Step 3: Cross multiply
    380,879x = 819,879 × 819,879
  4. Step 4: Simplify right side
    380,879x = 672,201,574,641
  5. Step 5: Solve for x
    x = 672,201,574,641/380,879
  6. Step 6: Final answer
    x = 1,764,869.09

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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.