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Finding the Third Proportional to 109.38 and 271.94

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Solution

The third proportional to 109.38 and 271.94 is: 676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.38 : 271.94 = 271.94 : x
  2. Step 2: Convert to fraction form
    109.38/271.94 = 271.94/x
  3. Step 3: Cross multiply
    109.38x = 271.94 × 271.94
  4. Step 4: Simplify right side
    109.38x = 73,950.00
  5. Step 5: Solve for x
    x = 73,950.00/109.38
  6. Step 6: Final answer
    x = 676.11

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.