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Finding the Third Proportional to 287,839 and 451,512

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Solution

The third proportional to 287,839 and 451,512 is: 708,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,839 : 451,512 = 451,512 : x
  2. Step 2: Convert to fraction form
    287,839/451,512 = 451,512/x
  3. Step 3: Cross multiply
    287,839x = 451,512 × 451,512
  4. Step 4: Simplify right side
    287,839x = 203,863,086,144
  5. Step 5: Solve for x
    x = 203,863,086,144/287,839
  6. Step 6: Final answer
    x = 708,253.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.