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Finding the Third Proportional to 223 and 490.13

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Solution

The third proportional to 223 and 490.13 is: 1,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223 : 490.13 = 490.13 : x
  2. Step 2: Convert to fraction form
    223/490.13 = 490.13/x
  3. Step 3: Cross multiply
    223x = 490.13 × 490.13
  4. Step 4: Simplify right side
    223x = 240,222.52
  5. Step 5: Solve for x
    x = 240,222.52/223
  6. Step 6: Final answer
    x = 1,077.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.