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Finding the Third Proportional to 7.15 and 12.96

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Solution

The third proportional to 7.15 and 12.96 is: 23.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.15 : 12.96 = 12.96 : x
  2. Step 2: Convert to fraction form
    7.15/12.96 = 12.96/x
  3. Step 3: Cross multiply
    7.15x = 12.96 × 12.96
  4. Step 4: Simplify right side
    7.15x = 167.83
  5. Step 5: Solve for x
    x = 167.83/7.15
  6. Step 6: Final answer
    x = 23.46

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.