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Finding the Third Proportional to 9.56 and 16.31

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Solution

The third proportional to 9.56 and 16.31 is: 27.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.56 : 16.31 = 16.31 : x
  2. Step 2: Convert to fraction form
    9.56/16.31 = 16.31/x
  3. Step 3: Cross multiply
    9.56x = 16.31 × 16.31
  4. Step 4: Simplify right side
    9.56x = 266.10
  5. Step 5: Solve for x
    x = 266.10/9.56
  6. Step 6: Final answer
    x = 27.83

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.