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Finding the Third Proportional to 225.94 and 490.31

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Solution

The third proportional to 225.94 and 490.31 is: 1,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.94 : 490.31 = 490.31 : x
  2. Step 2: Convert to fraction form
    225.94/490.31 = 490.31/x
  3. Step 3: Cross multiply
    225.94x = 490.31 × 490.31
  4. Step 4: Simplify right side
    225.94x = 240,406.35
  5. Step 5: Solve for x
    x = 240,406.35/225.94
  6. Step 6: Final answer
    x = 1,064.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.