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Finding the Third Proportional to 276.94 and 603.09

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Solution

The third proportional to 276.94 and 603.09 is: 1,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 603.09 = 603.09 : x
  2. Step 2: Convert to fraction form
    276.94/603.09 = 603.09/x
  3. Step 3: Cross multiply
    276.94x = 603.09 × 603.09
  4. Step 4: Simplify right side
    276.94x = 363,722.07
  5. Step 5: Solve for x
    x = 363,722.07/276.94
  6. Step 6: Final answer
    x = 1,313.37

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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.