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Finding the Third Proportional to 128,736 and 283,647

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Solution

The third proportional to 128,736 and 283,647 is: 624,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,736 : 283,647 = 283,647 : x
  2. Step 2: Convert to fraction form
    128,736/283,647 = 283,647/x
  3. Step 3: Cross multiply
    128,736x = 283,647 × 283,647
  4. Step 4: Simplify right side
    128,736x = 80,455,620,609
  5. Step 5: Solve for x
    x = 80,455,620,609/128,736
  6. Step 6: Final answer
    x = 624,965.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.