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Finding the Third Proportional to 126.42 and 180.49

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Solution

The third proportional to 126.42 and 180.49 is: 257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.42 : 180.49 = 180.49 : x
  2. Step 2: Convert to fraction form
    126.42/180.49 = 180.49/x
  3. Step 3: Cross multiply
    126.42x = 180.49 × 180.49
  4. Step 4: Simplify right side
    126.42x = 32,577.43
  5. Step 5: Solve for x
    x = 32,577.43/126.42
  6. Step 6: Final answer
    x = 257.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.