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Finding the Third Proportional to 619.97 and 996.84

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Solution

The third proportional to 619.97 and 996.84 is: 1,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.97 : 996.84 = 996.84 : x
  2. Step 2: Convert to fraction form
    619.97/996.84 = 996.84/x
  3. Step 3: Cross multiply
    619.97x = 996.84 × 996.84
  4. Step 4: Simplify right side
    619.97x = 993,697.46
  5. Step 5: Solve for x
    x = 993,697.46/619.97
  6. Step 6: Final answer
    x = 1,602.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.