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Finding the Third Proportional to 5.34 and 11.53

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Solution

The third proportional to 5.34 and 11.53 is: 24.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.34 : 11.53 = 11.53 : x
  2. Step 2: Convert to fraction form
    5.34/11.53 = 11.53/x
  3. Step 3: Cross multiply
    5.34x = 11.53 × 11.53
  4. Step 4: Simplify right side
    5.34x = 132.97
  5. Step 5: Solve for x
    x = 132.97/5.34
  6. Step 6: Final answer
    x = 24.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.