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Finding the Third Proportional to 276.33 and 676.90

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Solution

The third proportional to 276.33 and 676.90 is: 1,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.33 : 676.90 = 676.90 : x
  2. Step 2: Convert to fraction form
    276.33/676.90 = 676.90/x
  3. Step 3: Cross multiply
    276.33x = 676.90 × 676.90
  4. Step 4: Simplify right side
    276.33x = 458,191.49
  5. Step 5: Solve for x
    x = 458,191.49/276.33
  6. Step 6: Final answer
    x = 1,658.14

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.