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Finding the Third Proportional to 276.38 and 412.94

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Solution

The third proportional to 276.38 and 412.94 is: 616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.38 : 412.94 = 412.94 : x
  2. Step 2: Convert to fraction form
    276.38/412.94 = 412.94/x
  3. Step 3: Cross multiply
    276.38x = 412.94 × 412.94
  4. Step 4: Simplify right side
    276.38x = 170,517.38
  5. Step 5: Solve for x
    x = 170,517.38/276.38
  6. Step 6: Final answer
    x = 616.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.