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Finding the Third Proportional to 12.78 and 28.16

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Solution

The third proportional to 12.78 and 28.16 is: 62.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.78 : 28.16 = 28.16 : x
  2. Step 2: Convert to fraction form
    12.78/28.16 = 28.16/x
  3. Step 3: Cross multiply
    12.78x = 28.16 × 28.16
  4. Step 4: Simplify right side
    12.78x = 792.77
  5. Step 5: Solve for x
    x = 792.77/12.78
  6. Step 6: Final answer
    x = 62.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.