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Finding the Third Proportional to 644.73 and 996.57

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Solution

The third proportional to 644.73 and 996.57 is: 1,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.73 : 996.57 = 996.57 : x
  2. Step 2: Convert to fraction form
    644.73/996.57 = 996.57/x
  3. Step 3: Cross multiply
    644.73x = 996.57 × 996.57
  4. Step 4: Simplify right side
    644.73x = 993,160.17
  5. Step 5: Solve for x
    x = 993,160.17/644.73
  6. Step 6: Final answer
    x = 1,540.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.