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Finding the Third Proportional to 258.06 and 537.44

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Solution

The third proportional to 258.06 and 537.44 is: 1,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.06 : 537.44 = 537.44 : x
  2. Step 2: Convert to fraction form
    258.06/537.44 = 537.44/x
  3. Step 3: Cross multiply
    258.06x = 537.44 × 537.44
  4. Step 4: Simplify right side
    258.06x = 288,839.07
  5. Step 5: Solve for x
    x = 288,839.07/258.06
  6. Step 6: Final answer
    x = 1,119.26

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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.