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Finding the Third Proportional to 16.30 and 41.79

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Solution

The third proportional to 16.30 and 41.79 is: 107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.30 : 41.79 = 41.79 : x
  2. Step 2: Convert to fraction form
    16.30/41.79 = 41.79/x
  3. Step 3: Cross multiply
    16.30x = 41.79 × 41.79
  4. Step 4: Simplify right side
    16.30x = 1,746.70
  5. Step 5: Solve for x
    x = 1,746.70/16.30
  6. Step 6: Final answer
    x = 107.16

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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.