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Finding the Third Proportional to 10.40 and 11.74

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Solution

The third proportional to 10.40 and 11.74 is: 13.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.40 : 11.74 = 11.74 : x
  2. Step 2: Convert to fraction form
    10.40/11.74 = 11.74/x
  3. Step 3: Cross multiply
    10.40x = 11.74 × 11.74
  4. Step 4: Simplify right side
    10.40x = 137.94
  5. Step 5: Solve for x
    x = 137.94/10.40
  6. Step 6: Final answer
    x = 13.27

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.