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Finding the Third Proportional to 15.75 and 34.81

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Solution

The third proportional to 15.75 and 34.81 is: 76.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.75 : 34.81 = 34.81 : x
  2. Step 2: Convert to fraction form
    15.75/34.81 = 34.81/x
  3. Step 3: Cross multiply
    15.75x = 34.81 × 34.81
  4. Step 4: Simplify right side
    15.75x = 1,211.91
  5. Step 5: Solve for x
    x = 1,211.91/15.75
  6. Step 6: Final answer
    x = 76.95

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.