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Finding the Third Proportional to 253.75 and 664.38

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Solution

The third proportional to 253.75 and 664.38 is: 1,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.75 : 664.38 = 664.38 : x
  2. Step 2: Convert to fraction form
    253.75/664.38 = 664.38/x
  3. Step 3: Cross multiply
    253.75x = 664.38 × 664.38
  4. Step 4: Simplify right side
    253.75x = 441,394.14
  5. Step 5: Solve for x
    x = 441,394.14/253.75
  6. Step 6: Final answer
    x = 1,739.48

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.