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Finding the Third Proportional to 13.53 and 27.76

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Solution

The third proportional to 13.53 and 27.76 is: 56.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.53 : 27.76 = 27.76 : x
  2. Step 2: Convert to fraction form
    13.53/27.76 = 27.76/x
  3. Step 3: Cross multiply
    13.53x = 27.76 × 27.76
  4. Step 4: Simplify right side
    13.53x = 770.88
  5. Step 5: Solve for x
    x = 770.88/13.53
  6. Step 6: Final answer
    x = 56.99

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.