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Finding the Third Proportional to 133,823.25 and 192,351.38

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Solution

The third proportional to 133,823.25 and 192,351.38 is: 276,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,823.25 : 192,351.38 = 192,351.38 : x
  2. Step 2: Convert to fraction form
    133,823.25/192,351.38 = 192,351.38/x
  3. Step 3: Cross multiply
    133,823.25x = 192,351.38 × 192,351.38
  4. Step 4: Simplify right side
    133,823.25x = 36,999,051,464.39
  5. Step 5: Solve for x
    x = 36,999,051,464.39/133,823.25
  6. Step 6: Final answer
    x = 276,477.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.