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Finding the Third Proportional to 8,179,471 and 17,722,107

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Solution

The third proportional to 8,179,471 and 17,722,107 is: 38,397,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179,471 : 17,722,107 = 17,722,107 : x
  2. Step 2: Convert to fraction form
    8,179,471/17,722,107 = 17,722,107/x
  3. Step 3: Cross multiply
    8,179,471x = 17,722,107 × 17,722,107
  4. Step 4: Simplify right side
    8,179,471x = 314,073,076,519,449
  5. Step 5: Solve for x
    x = 314,073,076,519,449/8,179,471
  6. Step 6: Final answer
    x = 38,397,724.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.