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Finding the Third Proportional to 198,236.25 and 319,190.63

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Solution

The third proportional to 198,236.25 and 319,190.63 is: 513,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,236.25 : 319,190.63 = 319,190.63 : x
  2. Step 2: Convert to fraction form
    198,236.25/319,190.63 = 319,190.63/x
  3. Step 3: Cross multiply
    198,236.25x = 319,190.63 × 319,190.63
  4. Step 4: Simplify right side
    198,236.25x = 101,882,655,087.89
  5. Step 5: Solve for x
    x = 101,882,655,087.89/198,236.25
  6. Step 6: Final answer
    x = 513,945.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.