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Finding the Third Proportional to 276.88 and 376.19

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Solution

The third proportional to 276.88 and 376.19 is: 511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.88 : 376.19 = 376.19 : x
  2. Step 2: Convert to fraction form
    276.88/376.19 = 376.19/x
  3. Step 3: Cross multiply
    276.88x = 376.19 × 376.19
  4. Step 4: Simplify right side
    276.88x = 141,517.04
  5. Step 5: Solve for x
    x = 141,517.04/276.88
  6. Step 6: Final answer
    x = 511.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.