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Finding the Third Proportional to 258.19 and 523.97

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Solution

The third proportional to 258.19 and 523.97 is: 1,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 523.97 = 523.97 : x
  2. Step 2: Convert to fraction form
    258.19/523.97 = 523.97/x
  3. Step 3: Cross multiply
    258.19x = 523.97 × 523.97
  4. Step 4: Simplify right side
    258.19x = 274,543.25
  5. Step 5: Solve for x
    x = 274,543.25/258.19
  6. Step 6: Final answer
    x = 1,063.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.