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Finding the Third Proportional to 39.88 and 104.94

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Solution

The third proportional to 39.88 and 104.94 is: 276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.88 : 104.94 = 104.94 : x
  2. Step 2: Convert to fraction form
    39.88/104.94 = 104.94/x
  3. Step 3: Cross multiply
    39.88x = 104.94 × 104.94
  4. Step 4: Simplify right side
    39.88x = 11,011.88
  5. Step 5: Solve for x
    x = 11,011.88/39.88
  6. Step 6: Final answer
    x = 276.16

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.