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Finding the Third Proportional to 5.38 and 13.06

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Solution

The third proportional to 5.38 and 13.06 is: 31.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.38 : 13.06 = 13.06 : x
  2. Step 2: Convert to fraction form
    5.38/13.06 = 13.06/x
  3. Step 3: Cross multiply
    5.38x = 13.06 × 13.06
  4. Step 4: Simplify right side
    5.38x = 170.63
  5. Step 5: Solve for x
    x = 170.63/5.38
  6. Step 6: Final answer
    x = 31.74

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.