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Finding the Third Proportional to 126.95 and 276.89

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Solution

The third proportional to 126.95 and 276.89 is: 603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.95 : 276.89 = 276.89 : x
  2. Step 2: Convert to fraction form
    126.95/276.89 = 276.89/x
  3. Step 3: Cross multiply
    126.95x = 276.89 × 276.89
  4. Step 4: Simplify right side
    126.95x = 76,668.42
  5. Step 5: Solve for x
    x = 76,668.42/126.95
  6. Step 6: Final answer
    x = 603.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.