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Finding the Third Proportional to 300,830.25 and 451,304.63

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Solution

The third proportional to 300,830.25 and 451,304.63 is: 677,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,830.25 : 451,304.63 = 451,304.63 : x
  2. Step 2: Convert to fraction form
    300,830.25/451,304.63 = 451,304.63/x
  3. Step 3: Cross multiply
    300,830.25x = 451,304.63 × 451,304.63
  4. Step 4: Simplify right side
    300,830.25x = 203,675,864,546.39
  5. Step 5: Solve for x
    x = 203,675,864,546.39/300,830.25
  6. Step 6: Final answer
    x = 677,045.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.