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Finding the Third Proportional to 276.94 and 429.09

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Solution

The third proportional to 276.94 and 429.09 is: 664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 429.09 = 429.09 : x
  2. Step 2: Convert to fraction form
    276.94/429.09 = 429.09/x
  3. Step 3: Cross multiply
    276.94x = 429.09 × 429.09
  4. Step 4: Simplify right side
    276.94x = 184,121.45
  5. Step 5: Solve for x
    x = 184,121.45/276.94
  6. Step 6: Final answer
    x = 664.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.