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Finding the Third Proportional to 192,468,480 and 449,108,640

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Solution

The third proportional to 192,468,480 and 449,108,640 is: 1,047,956,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,468,480 : 449,108,640 = 449,108,640 : x
  2. Step 2: Convert to fraction form
    192,468,480/449,108,640 = 449,108,640/x
  3. Step 3: Cross multiply
    192,468,480x = 449,108,640 × 449,108,640
  4. Step 4: Simplify right side
    192,468,480x = 201,698,570,522,649,600
  5. Step 5: Solve for x
    x = 201,698,570,522,649,600/192,468,480
  6. Step 6: Final answer
    x = 1,047,956,374.58

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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.