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Finding the Third Proportional to 106.84 and 276.53

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Solution

The third proportional to 106.84 and 276.53 is: 715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.84 : 276.53 = 276.53 : x
  2. Step 2: Convert to fraction form
    106.84/276.53 = 276.53/x
  3. Step 3: Cross multiply
    106.84x = 276.53 × 276.53
  4. Step 4: Simplify right side
    106.84x = 76,469.53
  5. Step 5: Solve for x
    x = 76,469.53/106.84
  6. Step 6: Final answer
    x = 715.71

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.