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Finding the Third Proportional to 13.63 and 21.56

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Solution

The third proportional to 13.63 and 21.56 is: 34.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.63 : 21.56 = 21.56 : x
  2. Step 2: Convert to fraction form
    13.63/21.56 = 21.56/x
  3. Step 3: Cross multiply
    13.63x = 21.56 × 21.56
  4. Step 4: Simplify right side
    13.63x = 464.94
  5. Step 5: Solve for x
    x = 464.94/13.63
  6. Step 6: Final answer
    x = 34.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.