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Finding the Third Proportional to 177.09 and 268.31

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Solution

The third proportional to 177.09 and 268.31 is: 406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.09 : 268.31 = 268.31 : x
  2. Step 2: Convert to fraction form
    177.09/268.31 = 268.31/x
  3. Step 3: Cross multiply
    177.09x = 268.31 × 268.31
  4. Step 4: Simplify right side
    177.09x = 71,991.60
  5. Step 5: Solve for x
    x = 71,991.60/177.09
  6. Step 6: Final answer
    x = 406.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.