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Finding the Third Proportional to 225.70 and 490.01

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Solution

The third proportional to 225.70 and 490.01 is: 1,063.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.70 : 490.01 = 490.01 : x
  2. Step 2: Convert to fraction form
    225.70/490.01 = 490.01/x
  3. Step 3: Cross multiply
    225.70x = 490.01 × 490.01
  4. Step 4: Simplify right side
    225.70x = 240,107.66
  5. Step 5: Solve for x
    x = 240,107.66/225.70
  6. Step 6: Final answer
    x = 1,063.82

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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.