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Finding the Third Proportional to 258.75 and 533.88

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Solution

The third proportional to 258.75 and 533.88 is: 1,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.75 : 533.88 = 533.88 : x
  2. Step 2: Convert to fraction form
    258.75/533.88 = 533.88/x
  3. Step 3: Cross multiply
    258.75x = 533.88 × 533.88
  4. Step 4: Simplify right side
    258.75x = 285,022.52
  5. Step 5: Solve for x
    x = 285,022.52/258.75
  6. Step 6: Final answer
    x = 1,101.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.