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Finding the Third Proportional to 13 and 25.81

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Solution

The third proportional to 13 and 25.81 is: 51.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 25.81 = 25.81 : x
  2. Step 2: Convert to fraction form
    13/25.81 = 25.81/x
  3. Step 3: Cross multiply
    13x = 25.81 × 25.81
  4. Step 4: Simplify right side
    13x = 666.29
  5. Step 5: Solve for x
    x = 666.29/13
  6. Step 6: Final answer
    x = 51.25

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.