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Finding the Third Proportional to 4.98 and 11.03

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Solution

The third proportional to 4.98 and 11.03 is: 24.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.98 : 11.03 = 11.03 : x
  2. Step 2: Convert to fraction form
    4.98/11.03 = 11.03/x
  3. Step 3: Cross multiply
    4.98x = 11.03 × 11.03
  4. Step 4: Simplify right side
    4.98x = 121.76
  5. Step 5: Solve for x
    x = 121.76/4.98
  6. Step 6: Final answer
    x = 24.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.