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Finding the Third Proportional to 177.56 and 343.31

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Solution

The third proportional to 177.56 and 343.31 is: 663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.56 : 343.31 = 343.31 : x
  2. Step 2: Convert to fraction form
    177.56/343.31 = 343.31/x
  3. Step 3: Cross multiply
    177.56x = 343.31 × 343.31
  4. Step 4: Simplify right side
    177.56x = 117,863.47
  5. Step 5: Solve for x
    x = 117,863.47/177.56
  6. Step 6: Final answer
    x = 663.79

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.