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Finding the Third Proportional to 366,991 and 516,790

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Solution

The third proportional to 366,991 and 516,790 is: 727,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,991 : 516,790 = 516,790 : x
  2. Step 2: Convert to fraction form
    366,991/516,790 = 516,790/x
  3. Step 3: Cross multiply
    366,991x = 516,790 × 516,790
  4. Step 4: Simplify right side
    366,991x = 267,071,904,100
  5. Step 5: Solve for x
    x = 267,071,904,100/366,991
  6. Step 6: Final answer
    x = 727,734.21

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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.