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Finding the Third Proportional to 133,824.66 and 192,353.48

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Solution

The third proportional to 133,824.66 and 192,353.48 is: 276,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824.66 : 192,353.48 = 192,353.48 : x
  2. Step 2: Convert to fraction form
    133,824.66/192,353.48 = 192,353.48/x
  3. Step 3: Cross multiply
    133,824.66x = 192,353.48 × 192,353.48
  4. Step 4: Simplify right side
    133,824.66x = 36,999,862,951.20
  5. Step 5: Solve for x
    x = 36,999,862,951.20/133,824.66
  6. Step 6: Final answer
    x = 276,480.16

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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.