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Finding the Third Proportional to 12.78 and 17.03

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Solution

The third proportional to 12.78 and 17.03 is: 22.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.78 : 17.03 = 17.03 : x
  2. Step 2: Convert to fraction form
    12.78/17.03 = 17.03/x
  3. Step 3: Cross multiply
    12.78x = 17.03 × 17.03
  4. Step 4: Simplify right side
    12.78x = 290.06
  5. Step 5: Solve for x
    x = 290.06/12.78
  6. Step 6: Final answer
    x = 22.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.