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Finding the Third Proportional to 367,119 and 516,991

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Solution

The third proportional to 367,119 and 516,991 is: 728,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,119 : 516,991 = 516,991 : x
  2. Step 2: Convert to fraction form
    367,119/516,991 = 516,991/x
  3. Step 3: Cross multiply
    367,119x = 516,991 × 516,991
  4. Step 4: Simplify right side
    367,119x = 267,279,694,081
  5. Step 5: Solve for x
    x = 267,279,694,081/367,119
  6. Step 6: Final answer
    x = 728,046.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.