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Finding the Third Proportional to 13.78 and 25.31

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Solution

The third proportional to 13.78 and 25.31 is: 46.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.78 : 25.31 = 25.31 : x
  2. Step 2: Convert to fraction form
    13.78/25.31 = 25.31/x
  3. Step 3: Cross multiply
    13.78x = 25.31 × 25.31
  4. Step 4: Simplify right side
    13.78x = 640.72
  5. Step 5: Solve for x
    x = 640.72/13.78
  6. Step 6: Final answer
    x = 46.49

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.