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Finding the Third Proportional to 276.84 and 599.81

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Solution

The third proportional to 276.84 and 599.81 is: 1,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.84 : 599.81 = 599.81 : x
  2. Step 2: Convert to fraction form
    276.84/599.81 = 599.81/x
  3. Step 3: Cross multiply
    276.84x = 599.81 × 599.81
  4. Step 4: Simplify right side
    276.84x = 359,775.04
  5. Step 5: Solve for x
    x = 359,775.04/276.84
  6. Step 6: Final answer
    x = 1,299.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.