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Finding the Third Proportional to 19.53 and 41.09

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Solution

The third proportional to 19.53 and 41.09 is: 86.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.53 : 41.09 = 41.09 : x
  2. Step 2: Convert to fraction form
    19.53/41.09 = 41.09/x
  3. Step 3: Cross multiply
    19.53x = 41.09 × 41.09
  4. Step 4: Simplify right side
    19.53x = 1,688.70
  5. Step 5: Solve for x
    x = 1,688.70/19.53
  6. Step 6: Final answer
    x = 86.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.