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Finding the Third Proportional to 223.73 and 490.08

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Solution

The third proportional to 223.73 and 490.08 is: 1,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.73 : 490.08 = 490.08 : x
  2. Step 2: Convert to fraction form
    223.73/490.08 = 490.08/x
  3. Step 3: Cross multiply
    223.73x = 490.08 × 490.08
  4. Step 4: Simplify right side
    223.73x = 240,176.57
  5. Step 5: Solve for x
    x = 240,176.57/223.73
  6. Step 6: Final answer
    x = 1,073.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.