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Finding the Third Proportional to 5.23 and 13.74

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Solution

The third proportional to 5.23 and 13.74 is: 36.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.23 : 13.74 = 13.74 : x
  2. Step 2: Convert to fraction form
    5.23/13.74 = 13.74/x
  3. Step 3: Cross multiply
    5.23x = 13.74 × 13.74
  4. Step 4: Simplify right side
    5.23x = 188.72
  5. Step 5: Solve for x
    x = 188.72/5.23
  6. Step 6: Final answer
    x = 36.07

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.