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Finding the Third Proportional to 18.98 and 41.53

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Solution

The third proportional to 18.98 and 41.53 is: 90.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.98 : 41.53 = 41.53 : x
  2. Step 2: Convert to fraction form
    18.98/41.53 = 41.53/x
  3. Step 3: Cross multiply
    18.98x = 41.53 × 41.53
  4. Step 4: Simplify right side
    18.98x = 1,724.60
  5. Step 5: Solve for x
    x = 1,724.60/18.98
  6. Step 6: Final answer
    x = 90.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.