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Finding the Third Proportional to 25.81 and 36.06

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Solution

The third proportional to 25.81 and 36.06 is: 50.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.81 : 36.06 = 36.06 : x
  2. Step 2: Convert to fraction form
    25.81/36.06 = 36.06/x
  3. Step 3: Cross multiply
    25.81x = 36.06 × 36.06
  4. Step 4: Simplify right side
    25.81x = 1,300.50
  5. Step 5: Solve for x
    x = 1,300.50/25.81
  6. Step 6: Final answer
    x = 50.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.