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Finding the Third Proportional to 276.56 and 439.78

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Solution

The third proportional to 276.56 and 439.78 is: 699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 439.78 = 439.78 : x
  2. Step 2: Convert to fraction form
    276.56/439.78 = 439.78/x
  3. Step 3: Cross multiply
    276.56x = 439.78 × 439.78
  4. Step 4: Simplify right side
    276.56x = 193,407.55
  5. Step 5: Solve for x
    x = 193,407.55/276.56
  6. Step 6: Final answer
    x = 699.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.