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Finding the Third Proportional to 12.88 and 29.63

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Solution

The third proportional to 12.88 and 29.63 is: 68.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.88 : 29.63 = 29.63 : x
  2. Step 2: Convert to fraction form
    12.88/29.63 = 29.63/x
  3. Step 3: Cross multiply
    12.88x = 29.63 × 29.63
  4. Step 4: Simplify right side
    12.88x = 877.64
  5. Step 5: Solve for x
    x = 877.64/12.88
  6. Step 6: Final answer
    x = 68.17

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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.