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Finding the Third Proportional to 195,646,478 and 421,936,218

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Solution

The third proportional to 195,646,478 and 421,936,218 is: 909,958,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,646,478 : 421,936,218 = 421,936,218 : x
  2. Step 2: Convert to fraction form
    195,646,478/421,936,218 = 421,936,218/x
  3. Step 3: Cross multiply
    195,646,478x = 421,936,218 × 421,936,218
  4. Step 4: Simplify right side
    195,646,478x = 178,030,172,060,143,520
  5. Step 5: Solve for x
    x = 178,030,172,060,143,520/195,646,478
  6. Step 6: Final answer
    x = 909,958,481.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.