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Finding the Third Proportional to 126.15 and 271.63

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Solution

The third proportional to 126.15 and 271.63 is: 584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.15 : 271.63 = 271.63 : x
  2. Step 2: Convert to fraction form
    126.15/271.63 = 271.63/x
  3. Step 3: Cross multiply
    126.15x = 271.63 × 271.63
  4. Step 4: Simplify right side
    126.15x = 73,782.26
  5. Step 5: Solve for x
    x = 73,782.26/126.15
  6. Step 6: Final answer
    x = 584.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.