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Finding the Third Proportional to 192,783.50 and 408,895

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Solution

The third proportional to 192,783.50 and 408,895 is: 867,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,783.50 : 408,895 = 408,895 : x
  2. Step 2: Convert to fraction form
    192,783.50/408,895 = 408,895/x
  3. Step 3: Cross multiply
    192,783.50x = 408,895 × 408,895
  4. Step 4: Simplify right side
    192,783.50x = 167,195,121,025
  5. Step 5: Solve for x
    x = 167,195,121,025/192,783.50
  6. Step 6: Final answer
    x = 867,268.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.