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Finding the Third Proportional to 9.37 and 10.76

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Solution

The third proportional to 9.37 and 10.76 is: 12.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.37 : 10.76 = 10.76 : x
  2. Step 2: Convert to fraction form
    9.37/10.76 = 10.76/x
  3. Step 3: Cross multiply
    9.37x = 10.76 × 10.76
  4. Step 4: Simplify right side
    9.37x = 115.88
  5. Step 5: Solve for x
    x = 115.88/9.37
  6. Step 6: Final answer
    x = 12.36

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.