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Finding the Third Proportional to 239.25 and 494.63

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Solution

The third proportional to 239.25 and 494.63 is: 1,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.25 : 494.63 = 494.63 : x
  2. Step 2: Convert to fraction form
    239.25/494.63 = 494.63/x
  3. Step 3: Cross multiply
    239.25x = 494.63 × 494.63
  4. Step 4: Simplify right side
    239.25x = 244,653.89
  5. Step 5: Solve for x
    x = 244,653.89/239.25
  6. Step 6: Final answer
    x = 1,022.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.