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Finding the Third Proportional to 80,870,886 and 177,135,825.80

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Solution

The third proportional to 80,870,886 and 177,135,825.80 is: 387,990,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,870,886 : 177,135,825.80 = 177,135,825.80 : x
  2. Step 2: Convert to fraction form
    80,870,886/177,135,825.80 = 177,135,825.80/x
  3. Step 3: Cross multiply
    80,870,886x = 177,135,825.80 × 177,135,825.80
  4. Step 4: Simplify right side
    80,870,886x = 31,377,100,780,742,620
  5. Step 5: Solve for x
    x = 31,377,100,780,742,620/80,870,886
  6. Step 6: Final answer
    x = 387,990,070.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.