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Finding the Third Proportional to 180.69 and 254.84

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Solution

The third proportional to 180.69 and 254.84 is: 359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.69 : 254.84 = 254.84 : x
  2. Step 2: Convert to fraction form
    180.69/254.84 = 254.84/x
  3. Step 3: Cross multiply
    180.69x = 254.84 × 254.84
  4. Step 4: Simplify right side
    180.69x = 64,945.34
  5. Step 5: Solve for x
    x = 64,945.34/180.69
  6. Step 6: Final answer
    x = 359.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.