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Finding the Third Proportional to 126.19 and 275.81

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Solution

The third proportional to 126.19 and 275.81 is: 602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.19 : 275.81 = 275.81 : x
  2. Step 2: Convert to fraction form
    126.19/275.81 = 275.81/x
  3. Step 3: Cross multiply
    126.19x = 275.81 × 275.81
  4. Step 4: Simplify right side
    126.19x = 76,072.54
  5. Step 5: Solve for x
    x = 76,072.54/126.19
  6. Step 6: Final answer
    x = 602.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.