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Finding the Third Proportional to 209,770,456 and 329,067,947

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Solution

The third proportional to 209,770,456 and 329,067,947 is: 516,210,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,770,456 : 329,067,947 = 329,067,947 : x
  2. Step 2: Convert to fraction form
    209,770,456/329,067,947 = 329,067,947/x
  3. Step 3: Cross multiply
    209,770,456x = 329,067,947 × 329,067,947
  4. Step 4: Simplify right side
    209,770,456x = 108,285,713,742,794,816
  5. Step 5: Solve for x
    x = 108,285,713,742,794,816/209,770,456
  6. Step 6: Final answer
    x = 516,210,508.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.