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Finding the Third Proportional to 10.14 and 13.68

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Solution

The third proportional to 10.14 and 13.68 is: 18.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.14 : 13.68 = 13.68 : x
  2. Step 2: Convert to fraction form
    10.14/13.68 = 13.68/x
  3. Step 3: Cross multiply
    10.14x = 13.68 × 13.68
  4. Step 4: Simplify right side
    10.14x = 187.26
  5. Step 5: Solve for x
    x = 187.26/10.14
  6. Step 6: Final answer
    x = 18.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.