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Finding the Third Proportional to 367,116 and 516,990

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Solution

The third proportional to 367,116 and 516,990 is: 728,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,116 : 516,990 = 516,990 : x
  2. Step 2: Convert to fraction form
    367,116/516,990 = 516,990/x
  3. Step 3: Cross multiply
    367,116x = 516,990 × 516,990
  4. Step 4: Simplify right side
    367,116x = 267,278,660,100
  5. Step 5: Solve for x
    x = 267,278,660,100/367,116
  6. Step 6: Final answer
    x = 728,049.61

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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.