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Finding the Third Proportional to 10.26 and 13.40

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Solution

The third proportional to 10.26 and 13.40 is: 17.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.26 : 13.40 = 13.40 : x
  2. Step 2: Convert to fraction form
    10.26/13.40 = 13.40/x
  3. Step 3: Cross multiply
    10.26x = 13.40 × 13.40
  4. Step 4: Simplify right side
    10.26x = 179.54
  5. Step 5: Solve for x
    x = 179.54/10.26
  6. Step 6: Final answer
    x = 17.49

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.