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Finding the Third Proportional to 126.81 and 268.81

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Solution

The third proportional to 126.81 and 268.81 is: 569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.81 : 268.81 = 268.81 : x
  2. Step 2: Convert to fraction form
    126.81/268.81 = 268.81/x
  3. Step 3: Cross multiply
    126.81x = 268.81 × 268.81
  4. Step 4: Simplify right side
    126.81x = 72,260.16
  5. Step 5: Solve for x
    x = 72,260.16/126.81
  6. Step 6: Final answer
    x = 569.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.