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Finding the Third Proportional to 258 and 426.75

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Solution

The third proportional to 258 and 426.75 is: 705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 426.75 = 426.75 : x
  2. Step 2: Convert to fraction form
    258/426.75 = 426.75/x
  3. Step 3: Cross multiply
    258x = 426.75 × 426.75
  4. Step 4: Simplify right side
    258x = 182,115.56
  5. Step 5: Solve for x
    x = 182,115.56/258
  6. Step 6: Final answer
    x = 705.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.