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Finding the Third Proportional to 177.75 and 270.69

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Solution

The third proportional to 177.75 and 270.69 is: 412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 270.69 = 270.69 : x
  2. Step 2: Convert to fraction form
    177.75/270.69 = 270.69/x
  3. Step 3: Cross multiply
    177.75x = 270.69 × 270.69
  4. Step 4: Simplify right side
    177.75x = 73,271.72
  5. Step 5: Solve for x
    x = 73,271.72/177.75
  6. Step 6: Final answer
    x = 412.22

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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.