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Finding the Third Proportional to 196,195.50 and 303,729.75

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Solution

The third proportional to 196,195.50 and 303,729.75 is: 470,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,195.50 : 303,729.75 = 303,729.75 : x
  2. Step 2: Convert to fraction form
    196,195.50/303,729.75 = 303,729.75/x
  3. Step 3: Cross multiply
    196,195.50x = 303,729.75 × 303,729.75
  4. Step 4: Simplify right side
    196,195.50x = 92,251,761,035.06
  5. Step 5: Solve for x
    x = 92,251,761,035.06/196,195.50
  6. Step 6: Final answer
    x = 470,203.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.