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Finding the Third Proportional to 133,960.50 and 190,414.13

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Solution

The third proportional to 133,960.50 and 190,414.13 is: 270,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,960.50 : 190,414.13 = 190,414.13 : x
  2. Step 2: Convert to fraction form
    133,960.50/190,414.13 = 190,414.13/x
  3. Step 3: Cross multiply
    133,960.50x = 190,414.13 × 190,414.13
  4. Step 4: Simplify right side
    133,960.50x = 36,257,538,999.52
  5. Step 5: Solve for x
    x = 36,257,538,999.52/133,960.50
  6. Step 6: Final answer
    x = 270,658.43

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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.