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Finding the Third Proportional to 175.31 and 270.38

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Solution

The third proportional to 175.31 and 270.38 is: 416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.31 : 270.38 = 270.38 : x
  2. Step 2: Convert to fraction form
    175.31/270.38 = 270.38/x
  3. Step 3: Cross multiply
    175.31x = 270.38 × 270.38
  4. Step 4: Simplify right side
    175.31x = 73,102.64
  5. Step 5: Solve for x
    x = 73,102.64/175.31
  6. Step 6: Final answer
    x = 416.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.