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Finding the Third Proportional to 126.19 and 223.13

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Solution

The third proportional to 126.19 and 223.13 is: 394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.19 : 223.13 = 223.13 : x
  2. Step 2: Convert to fraction form
    126.19/223.13 = 223.13/x
  3. Step 3: Cross multiply
    126.19x = 223.13 × 223.13
  4. Step 4: Simplify right side
    126.19x = 49,784.77
  5. Step 5: Solve for x
    x = 49,784.77/126.19
  6. Step 6: Final answer
    x = 394.53

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.