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Finding the Third Proportional to 5.63 and 12.94

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Solution

The third proportional to 5.63 and 12.94 is: 29.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.63 : 12.94 = 12.94 : x
  2. Step 2: Convert to fraction form
    5.63/12.94 = 12.94/x
  3. Step 3: Cross multiply
    5.63x = 12.94 × 12.94
  4. Step 4: Simplify right side
    5.63x = 167.38
  5. Step 5: Solve for x
    x = 167.38/5.63
  6. Step 6: Final answer
    x = 29.76

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.