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Finding the Third Proportional to 366,978.38 and 516,790.13

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Solution

The third proportional to 366,978.38 and 516,790.13 is: 727,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978.38 : 516,790.13 = 516,790.13 : x
  2. Step 2: Convert to fraction form
    366,978.38/516,790.13 = 516,790.13/x
  3. Step 3: Cross multiply
    366,978.38x = 516,790.13 × 516,790.13
  4. Step 4: Simplify right side
    366,978.38x = 267,072,033,297.52
  5. Step 5: Solve for x
    x = 267,072,033,297.52/366,978.38
  6. Step 6: Final answer
    x = 727,759.59

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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.