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Finding the Third Proportional to 5.35 and 11.40

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Solution

The third proportional to 5.35 and 11.40 is: 24.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.35 : 11.40 = 11.40 : x
  2. Step 2: Convert to fraction form
    5.35/11.40 = 11.40/x
  3. Step 3: Cross multiply
    5.35x = 11.40 × 11.40
  4. Step 4: Simplify right side
    5.35x = 129.96
  5. Step 5: Solve for x
    x = 129.96/5.35
  6. Step 6: Final answer
    x = 24.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.