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Finding the Third Proportional to 192,155 and 273,728

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Solution

The third proportional to 192,155 and 273,728 is: 389,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,155 : 273,728 = 273,728 : x
  2. Step 2: Convert to fraction form
    192,155/273,728 = 273,728/x
  3. Step 3: Cross multiply
    192,155x = 273,728 × 273,728
  4. Step 4: Simplify right side
    192,155x = 74,927,017,984
  5. Step 5: Solve for x
    x = 74,927,017,984/192,155
  6. Step 6: Final answer
    x = 389,930.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.