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Finding the Third Proportional to 199,740 and 303,699

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Solution

The third proportional to 199,740 and 303,699 is: 461,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,740 : 303,699 = 303,699 : x
  2. Step 2: Convert to fraction form
    199,740/303,699 = 303,699/x
  3. Step 3: Cross multiply
    199,740x = 303,699 × 303,699
  4. Step 4: Simplify right side
    199,740x = 92,233,082,601
  5. Step 5: Solve for x
    x = 92,233,082,601/199,740
  6. Step 6: Final answer
    x = 461,765.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.