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Finding the Third Proportional to 88,383.75 and 192,135.38

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Solution

The third proportional to 88,383.75 and 192,135.38 is: 417,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,383.75 : 192,135.38 = 192,135.38 : x
  2. Step 2: Convert to fraction form
    88,383.75/192,135.38 = 192,135.38/x
  3. Step 3: Cross multiply
    88,383.75x = 192,135.38 × 192,135.38
  4. Step 4: Simplify right side
    88,383.75x = 36,916,002,326.39
  5. Step 5: Solve for x
    x = 36,916,002,326.39/88,383.75
  6. Step 6: Final answer
    x = 417,678.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.