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Finding the Third Proportional to 192,741 and 455,610

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Solution

The third proportional to 192,741 and 455,610 is: 1,076,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,741 : 455,610 = 455,610 : x
  2. Step 2: Convert to fraction form
    192,741/455,610 = 455,610/x
  3. Step 3: Cross multiply
    192,741x = 455,610 × 455,610
  4. Step 4: Simplify right side
    192,741x = 207,580,472,100
  5. Step 5: Solve for x
    x = 207,580,472,100/192,741
  6. Step 6: Final answer
    x = 1,076,991.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.