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Finding the Third Proportional to 490.98 and 699.81

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Solution

The third proportional to 490.98 and 699.81 is: 997.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.98 : 699.81 = 699.81 : x
  2. Step 2: Convert to fraction form
    490.98/699.81 = 699.81/x
  3. Step 3: Cross multiply
    490.98x = 699.81 × 699.81
  4. Step 4: Simplify right side
    490.98x = 489,736.17
  5. Step 5: Solve for x
    x = 489,736.17/490.98
  6. Step 6: Final answer
    x = 997.46

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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.