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Finding the Third Proportional to 12.75 and 31.56

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Solution

The third proportional to 12.75 and 31.56 is: 78.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.75 : 31.56 = 31.56 : x
  2. Step 2: Convert to fraction form
    12.75/31.56 = 31.56/x
  3. Step 3: Cross multiply
    12.75x = 31.56 × 31.56
  4. Step 4: Simplify right side
    12.75x = 996.19
  5. Step 5: Solve for x
    x = 996.19/12.75
  6. Step 6: Final answer
    x = 78.13

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.