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Finding the Third Proportional to 269,078,436 and 421,181,243.50

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Solution

The third proportional to 269,078,436 and 421,181,243.50 is: 659,263,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,078,436 : 421,181,243.50 = 421,181,243.50 : x
  2. Step 2: Convert to fraction form
    269,078,436/421,181,243.50 = 421,181,243.50/x
  3. Step 3: Cross multiply
    269,078,436x = 421,181,243.50 × 421,181,243.50
  4. Step 4: Simplify right side
    269,078,436x = 177,393,639,876,206,304
  5. Step 5: Solve for x
    x = 177,393,639,876,206,304/269,078,436
  6. Step 6: Final answer
    x = 659,263,679.81

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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.