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Finding the Third Proportional to 177.38 and 265.31

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Solution

The third proportional to 177.38 and 265.31 is: 396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 265.31 = 265.31 : x
  2. Step 2: Convert to fraction form
    177.38/265.31 = 265.31/x
  3. Step 3: Cross multiply
    177.38x = 265.31 × 265.31
  4. Step 4: Simplify right side
    177.38x = 70,390.72
  5. Step 5: Solve for x
    x = 70,390.72/177.38
  6. Step 6: Final answer
    x = 396.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.