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Finding the Third Proportional to 200,433,220 and 419,192,112

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Solution

The third proportional to 200,433,220 and 419,192,112 is: 876,711,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,433,220 : 419,192,112 = 419,192,112 : x
  2. Step 2: Convert to fraction form
    200,433,220/419,192,112 = 419,192,112/x
  3. Step 3: Cross multiply
    200,433,220x = 419,192,112 × 419,192,112
  4. Step 4: Simplify right side
    200,433,220x = 175,722,026,763,020,544
  5. Step 5: Solve for x
    x = 175,722,026,763,020,544/200,433,220
  6. Step 6: Final answer
    x = 876,711,089.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.