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Finding the Third Proportional to 339.75 and 458.38

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Solution

The third proportional to 339.75 and 458.38 is: 618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.75 : 458.38 = 458.38 : x
  2. Step 2: Convert to fraction form
    339.75/458.38 = 458.38/x
  3. Step 3: Cross multiply
    339.75x = 458.38 × 458.38
  4. Step 4: Simplify right side
    339.75x = 210,107.64
  5. Step 5: Solve for x
    x = 210,107.64/339.75
  6. Step 6: Final answer
    x = 618.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.