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Finding the Third Proportional to 13.76 and 30.14

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Solution

The third proportional to 13.76 and 30.14 is: 65.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.76 : 30.14 = 30.14 : x
  2. Step 2: Convert to fraction form
    13.76/30.14 = 30.14/x
  3. Step 3: Cross multiply
    13.76x = 30.14 × 30.14
  4. Step 4: Simplify right side
    13.76x = 908.28
  5. Step 5: Solve for x
    x = 908.28/13.76
  6. Step 6: Final answer
    x = 65.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.