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Finding the Third Proportional to 235.94 and 488.47

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Solution

The third proportional to 235.94 and 488.47 is: 1,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.94 : 488.47 = 488.47 : x
  2. Step 2: Convert to fraction form
    235.94/488.47 = 488.47/x
  3. Step 3: Cross multiply
    235.94x = 488.47 × 488.47
  4. Step 4: Simplify right side
    235.94x = 238,601.72
  5. Step 5: Solve for x
    x = 238,601.72/235.94
  6. Step 6: Final answer
    x = 1,011.29

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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.