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Finding the Third Proportional to 257.25 and 349.31

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Solution

The third proportional to 257.25 and 349.31 is: 474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.25 : 349.31 = 349.31 : x
  2. Step 2: Convert to fraction form
    257.25/349.31 = 349.31/x
  3. Step 3: Cross multiply
    257.25x = 349.31 × 349.31
  4. Step 4: Simplify right side
    257.25x = 122,019.22
  5. Step 5: Solve for x
    x = 122,019.22/257.25
  6. Step 6: Final answer
    x = 474.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.