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Finding the Third Proportional to 12.86 and 27.39

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Solution

The third proportional to 12.86 and 27.39 is: 58.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.86 : 27.39 = 27.39 : x
  2. Step 2: Convert to fraction form
    12.86/27.39 = 27.39/x
  3. Step 3: Cross multiply
    12.86x = 27.39 × 27.39
  4. Step 4: Simplify right side
    12.86x = 750.24
  5. Step 5: Solve for x
    x = 750.24/12.86
  6. Step 6: Final answer
    x = 58.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.