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Finding the Third Proportional to 490.92 and 699.96

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Solution

The third proportional to 490.92 and 699.96 is: 998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.92 : 699.96 = 699.96 : x
  2. Step 2: Convert to fraction form
    490.92/699.96 = 699.96/x
  3. Step 3: Cross multiply
    490.92x = 699.96 × 699.96
  4. Step 4: Simplify right side
    490.92x = 489,945.31
  5. Step 5: Solve for x
    x = 489,945.31/490.92
  6. Step 6: Final answer
    x = 998.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.