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Finding the Third Proportional to 8,422,605 and 17,244,201

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Solution

The third proportional to 8,422,605 and 17,244,201 is: 35,305,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422,605 : 17,244,201 = 17,244,201 : x
  2. Step 2: Convert to fraction form
    8,422,605/17,244,201 = 17,244,201/x
  3. Step 3: Cross multiply
    8,422,605x = 17,244,201 × 17,244,201
  4. Step 4: Simplify right side
    8,422,605x = 297,362,468,128,401
  5. Step 5: Solve for x
    x = 297,362,468,128,401/8,422,605
  6. Step 6: Final answer
    x = 35,305,284.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.