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Finding the Third Proportional to 437,286.09 and 674,609.77

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Solution

The third proportional to 437,286.09 and 674,609.77 is: 1,040,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,286.09 : 674,609.77 = 674,609.77 : x
  2. Step 2: Convert to fraction form
    437,286.09/674,609.77 = 674,609.77/x
  3. Step 3: Cross multiply
    437,286.09x = 674,609.77 × 674,609.77
  4. Step 4: Simplify right side
    437,286.09x = 455,098,335,876.62
  5. Step 5: Solve for x
    x = 455,098,335,876.62/437,286.09
  6. Step 6: Final answer
    x = 1,040,733.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.