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Finding the Third Proportional to 9.63 and 12.87

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Solution

The third proportional to 9.63 and 12.87 is: 17.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.63 : 12.87 = 12.87 : x
  2. Step 2: Convert to fraction form
    9.63/12.87 = 12.87/x
  3. Step 3: Cross multiply
    9.63x = 12.87 × 12.87
  4. Step 4: Simplify right side
    9.63x = 165.56
  5. Step 5: Solve for x
    x = 165.56/9.63
  6. Step 6: Final answer
    x = 17.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.