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Finding the Third Proportional to 15.75 and 22.81

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Solution

The third proportional to 15.75 and 22.81 is: 33.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.75 : 22.81 = 22.81 : x
  2. Step 2: Convert to fraction form
    15.75/22.81 = 22.81/x
  3. Step 3: Cross multiply
    15.75x = 22.81 × 22.81
  4. Step 4: Simplify right side
    15.75x = 520.41
  5. Step 5: Solve for x
    x = 520.41/15.75
  6. Step 6: Final answer
    x = 33.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.