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Finding the Third Proportional to 257.81 and 343.03

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Solution

The third proportional to 257.81 and 343.03 is: 456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.81 : 343.03 = 343.03 : x
  2. Step 2: Convert to fraction form
    257.81/343.03 = 343.03/x
  3. Step 3: Cross multiply
    257.81x = 343.03 × 343.03
  4. Step 4: Simplify right side
    257.81x = 117,670.44
  5. Step 5: Solve for x
    x = 117,670.44/257.81
  6. Step 6: Final answer
    x = 456.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.