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Finding the Third Proportional to 10.17 and 11.37

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Solution

The third proportional to 10.17 and 11.37 is: 12.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.17 : 11.37 = 11.37 : x
  2. Step 2: Convert to fraction form
    10.17/11.37 = 11.37/x
  3. Step 3: Cross multiply
    10.17x = 11.37 × 11.37
  4. Step 4: Simplify right side
    10.17x = 129.27
  5. Step 5: Solve for x
    x = 129.27/10.17
  6. Step 6: Final answer
    x = 12.72

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.