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Finding the Third Proportional to 192,468,684 and 449,109,150

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Solution

The third proportional to 192,468,684 and 449,109,150 is: 1,047,957,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,468,684 : 449,109,150 = 449,109,150 : x
  2. Step 2: Convert to fraction form
    192,468,684/449,109,150 = 449,109,150/x
  3. Step 3: Cross multiply
    192,468,684x = 449,109,150 × 449,109,150
  4. Step 4: Simplify right side
    192,468,684x = 201,699,028,613,722,496
  5. Step 5: Solve for x
    x = 201,699,028,613,722,496/192,468,684
  6. Step 6: Final answer
    x = 1,047,957,643.92

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.