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Finding the Third Proportional to 9.56 and 15.71

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Solution

The third proportional to 9.56 and 15.71 is: 25.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.56 : 15.71 = 15.71 : x
  2. Step 2: Convert to fraction form
    9.56/15.71 = 15.71/x
  3. Step 3: Cross multiply
    9.56x = 15.71 × 15.71
  4. Step 4: Simplify right side
    9.56x = 246.96
  5. Step 5: Solve for x
    x = 246.96/9.56
  6. Step 6: Final answer
    x = 25.83

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.