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Finding the Third Proportional to 11.03 and 24.21

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Solution

The third proportional to 11.03 and 24.21 is: 53.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.03 : 24.21 = 24.21 : x
  2. Step 2: Convert to fraction form
    11.03/24.21 = 24.21/x
  3. Step 3: Cross multiply
    11.03x = 24.21 × 24.21
  4. Step 4: Simplify right side
    11.03x = 585.89
  5. Step 5: Solve for x
    x = 585.89/11.03
  6. Step 6: Final answer
    x = 53.10

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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.