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Finding the Third Proportional to 235.83 and 490.22

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Solution

The third proportional to 235.83 and 490.22 is: 1,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.83 : 490.22 = 490.22 : x
  2. Step 2: Convert to fraction form
    235.83/490.22 = 490.22/x
  3. Step 3: Cross multiply
    235.83x = 490.22 × 490.22
  4. Step 4: Simplify right side
    235.83x = 240,314.42
  5. Step 5: Solve for x
    x = 240,314.42/235.83
  6. Step 6: Final answer
    x = 1,019.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.