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Finding the Third Proportional to 234.28 and 490.64

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Solution

The third proportional to 234.28 and 490.64 is: 1,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.28 : 490.64 = 490.64 : x
  2. Step 2: Convert to fraction form
    234.28/490.64 = 490.64/x
  3. Step 3: Cross multiply
    234.28x = 490.64 × 490.64
  4. Step 4: Simplify right side
    234.28x = 240,728.22
  5. Step 5: Solve for x
    x = 240,728.22/234.28
  6. Step 6: Final answer
    x = 1,027.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.