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Finding the Third Proportional to 106.50 and 272.94

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Solution

The third proportional to 106.50 and 272.94 is: 699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 272.94 = 272.94 : x
  2. Step 2: Convert to fraction form
    106.50/272.94 = 272.94/x
  3. Step 3: Cross multiply
    106.50x = 272.94 × 272.94
  4. Step 4: Simplify right side
    106.50x = 74,494.88
  5. Step 5: Solve for x
    x = 74,494.88/106.50
  6. Step 6: Final answer
    x = 699.48

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.