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Finding the Third Proportional to 490.50 and 694.13

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Solution

The third proportional to 490.50 and 694.13 is: 982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.50 : 694.13 = 694.13 : x
  2. Step 2: Convert to fraction form
    490.50/694.13 = 694.13/x
  3. Step 3: Cross multiply
    490.50x = 694.13 × 694.13
  4. Step 4: Simplify right side
    490.50x = 481,809.52
  5. Step 5: Solve for x
    x = 481,809.52/490.50
  6. Step 6: Final answer
    x = 982.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.